All questions of Thermodynamics for Mechanical Engineering Exam

Two reversible heat engines operating between temperatures 2000 K and T K and T K and 500 K respectively. What is the intermediate temperature, if the efficiency of both the cycles is same?
  • a)
    900 K
  • b)
    1000 K
  • c)
    1500 K
  • d)
    1600 K
Correct answer is option 'A'. Can you explain this answer?

Tanvi Shah answered
 
Efficiency of first engine (E1), 
Efficiency of second engine
As efficiency of both engine is same,
So, η1 = η2
⇒ T2 = 2000 × 50
Short Trick:
When efficiency of both engines are equal, then intermediate temperature

The standard fixed point of thermometry is
  • a)
    Ice point
  • b)
    Sulphur point
  • c)
    Triple point of water
  • d)
    Normal boiling point of water
Correct answer is option 'C'. Can you explain this answer?

Rhea Reddy answered
The triple point of water has a unique value of 273.16 K. At particular value of volume and pressure the triple point of water is always 273.16 K. The melting point of ice and boiling point of water do not have particular values because these points depend on pressure and temperature

A process in which no heat is supplied or rejected from the system and entropy is not constant is known as
  • a)
    Isothermal
  • b)
    Isentropic
  • c)
    Polytropic
  • d)
    Hyperbolic
Correct answer is option 'D'. Can you explain this answer?

Bijoy Kapoor answered
Hyperbolic is an adjective describing something that resembles or pertains to a hyperbola (a curve), to hyperbole (an overstatement or exaggeration), or to hyperbolic geometry.

Which one of the following is extensive property of a thermodynamics system
  • a)
    Volume
  • b)
    Pressure
  • c)
    Temperature
  • d)
    Density
Correct answer is option 'A'. Can you explain this answer?

Neha Joshi answered
Intensive Property: These are the properties of system which are independent of mass under consideration. For e.g. Pressure, Temperature, density
Extensive Properties: The properties which depend on the mass of system under consideration.
For e.g Internal Energy, Enthalpy, Volume, Entropy
Note: All specific properties are intensive properties. For e.g. specific volume, specific entropy etc.
Since volume depends on mass hence it is extensive property.

The heat rejection takes place in Carnot cycle at _______.
  • a)
    isentropic compression
  • b)
    isentropic expansion
  • c)
    isothermal compression
  • d)
    isothermal expansion
Correct answer is option 'C'. Can you explain this answer?

Isothermal compression is compression at constant temperature. It is not trivial because liquids are hardly compressible and gases heat up during compression. Gases heat up during relatively fast compression because the pressure work done onto the gas increases its internal energy and therefore its temperature.

Two reversible engines are connected in series between a heat source and a sink. The efficiencies of these engines are 60% and 50%, respectively. If these two engines are replaced by a single reversible engine, the efficiency of this engine will be
  • a)
    60%
  • b)
    70%
  • c)
    80%
  • d)
    90%
Correct answer is option 'C'. Can you explain this answer?

Let we supply 1 kJ of hat to engine 1 and the rejected heat of engine 1 will go to engine 2.
Now, if both engines are replaced by a single engine. So,
∴Efficiencyofnewengine=1−0.21=0.8=80%∴Efficiencyofnewengine=1−0.21=0.8=80%
Short trick: -
ηoverall = η1 + η2 - η1η2
= 0.6 + 0.5 - 0.6 × 0.5 = 0.8 = 80%

A thermometer works on the principle of
  • a)
    Law of stable equilibrium
  • b)
    Zeroth law of thermodynamics
  • c)
    First law of thermodynamics
  • d)
    Second law of thermodynamics
Correct answer is option 'B'. Can you explain this answer?

Navya Kaur answered
A thermometer works on the principle of Zeroth law of Thermodynamics.
According to Zeroth Law of thermodynamics, if two bodies are in thermal equilibrium with a third body then the two bodies are also in thermal equilibrium with each other.
Thermometer are based on the principle of finding the temperature by measuring the thermometric property.

A tank containing air is stirred by a paddle wheel. The work input to the paddle wheel is 9000 kJ and heat transferred to the surroundings from the tank is 3000 kJ. The external work done by the system is:
  • a)
    Zero
  • b)
    3000 KJ
  • c)
    6000 KJ
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Yash Joshi answered
First law of thermodynamics:
δQ=ΔU+δWδQ=ΔU+δW
(-3000) = ΔU + (-9000)
ΔU = 6000 kJ
As there is 9000 kJ work done on the system, no work will be done by the system. Energy will be stored in the system as internal energy.

Carnot cycle consists of
  • a)
    Two constant volume and two isentropic processes
  • b)
    Two isothermal and two isentropic processes
  • c)
    Two constant pressure and two isentropic processes
  • d)
    One constant volume, one constant pressure and two isentropic processes
Correct answer is option 'B'. Can you explain this answer?

Hiral Sharma answered
Carnot cycle is one of the best-known reversible cycles. The Carnot cycle is composed of four reversible processes.
  • Reversible Isothermal Expansion (process 1-2)
  • Reversible adiabatic expansion (process 2-3)
  • Reversible isothermal compression (process 3-4)
  • Reversible adiabatic compression (process 4-1)
  • Fig. P-V and T-S diagrams of Carnot Cycle

Which of the following properties are NOT sufficient to determine the properties of a vapour?
  1. Temperature
  2. Pressure
  3. Dryness fraction
  4. Specific volume
  • a)
    1 and 2
  • b)
    2 and 3
  • c)
    3 and 4
  • d)
    1 and 4
Correct answer is option 'A'. Can you explain this answer?

In properties of vapour, we require at least two independent properties to determine the state of the vapour. Both pressure and temperature are dependent properties so, if we know only pressure and temperature, we can’t determine the properties of vapour.

Which of the below stated are properties of a PMM-2?
  1. When the net work is equal to the heat absorbed and work efficiency is 100%.
  2. Heat is exchanged from one heat reservoir only.
  3. It violates Kelvin-Planck statement.
  4. It is a hypothetical machine
  • a)
    1), 2) and 4)
  • b)
    1), 3) and 4)
  • c)
    2), 3) and 4)
  • d)
    1), 2), 3) and 4)
Correct answer is option 'D'. Can you explain this answer?

Kelvin – Planck statement states “it is impossible to construct an engine, which is operating in a cycle produces no other effect except to external heat from a single reservoir and do equivalent amount of work.
A PMM II is the heat engine which produces the work equal to the heat supplied. Thus, it violates the second law of thermodynamics and It is a hypothetical machine.
On the other hand, Perpetual motion machine of type-I violates the first law of thermodynamics.

An automobile heats up while lying in a parking lot on a sunny day. The process can be assumed to be
  • a)
    Isothermal
  • b)
    Isobaric
  • c)
    Isometric
  • d)
    Isentropic
Correct answer is option 'B'. Can you explain this answer?

The process of heating up of an automobile can be assumed as isobaric. Because the pressure inside the car is constant. So out of given options the option b is correct.

Isothermal compressibility of an ideal gas is 
  • a)
    nR/VP
  • b)
    nRT/VP2
  • c)
    RT/VP2
  • d)
    nRT/VP
Correct answer is option 'B'. Can you explain this answer?

Ishani Basu answered
Explanation:

The isothermal compressibility (β) of a substance is a measure of how much the volume of the substance changes when the pressure is changed at constant temperature. It is defined as the fractional change in volume per unit change in pressure.

Formula:

The formula for isothermal compressibility is given by:
β = -1/V (∂V/∂P)T

Derivation:

Consider an ideal gas enclosed in a container. The volume (V) of the gas can be expressed in terms of pressure (P) and temperature (T) using the ideal gas law equation:
PV = nRT
Where:
P = pressure of the gas
V = volume of the gas
n = number of moles of the gas
R = universal gas constant
T = temperature of the gas

Step 1: Differentiate the ideal gas law equation with respect to pressure at constant temperature:
∂(PV)/∂P = ∂(nRT)/∂P
V + P (∂V/∂P) = nR (∂T/∂P)

Step 2: Rearrange the equation to isolate (∂V/∂P):
(∂V/∂P) = (nR/V) (∂T/∂P)
(∂V/∂P)T = (nR/V) (∂T/∂P)

Step 3: Substitute the formula for (∂V/∂P)T into the equation for isothermal compressibility:
β = -1/V (∂V/∂P)T
β = -1/V [(nR/V) (∂T/∂P)]
β = -nR/(VP) (∂T/∂P)

Step 4: Simplify the equation by substituting nR/V with 1/T (using the ideal gas law):
β = -1/VP (∂T/∂P)
β = -RT/VP2

Conclusion:

The correct expression for the isothermal compressibility (β) of an ideal gas is -RT/VP2. Therefore, option 'B' is the correct answer.

The property of a working system which changes as the heat is supplied to the working fluid in a reversible manner is known as ________.
  • a)
    Entropy
  • b)
    Enthalpy
  • c)
    External energy
  • d)
    Internal energy
Correct answer is option 'A'. Can you explain this answer?

Alok Iyer answered
Entropy is a property which is a measure of energy dispersion in a system or the irreversibility. Entropy transfer is associated with heat transfer. If the heat is added to the system, then its entropy increases and if heat is lost from the system, its entropy decreases.

Specific heat of a gas, Cp = Cv, at
  • a)
    Absolute zero
  • b)
    Critical temperature
  • c)
    Triple point
  • d)
    All temperatures
Correct answer is option 'A'. Can you explain this answer?

Aniket Mehta answered
A. Absolute zero:
At absolute zero temperature (0 Kelvin or -273.15 degrees Celsius), the molecular motion of a gas comes to a complete stop. At this temperature, all gases have zero kinetic energy, and their internal energy is also zero. Therefore, the specific heat at constant volume (Cv) and the specific heat at constant pressure (Cp) of a gas are equal to each other.

B. Critical temperature:
The critical temperature of a substance is the highest temperature at which the gas and liquid phases can coexist in equilibrium. Above this temperature, the substance exists only in the gaseous state. The specific heat of a gas at constant volume (Cv) and constant pressure (Cp) may not be equal at the critical temperature. Therefore, the correct option is A, not B.

C. Triple point:
The triple point of a substance is the unique combination of temperature and pressure at which all three phases (solid, liquid, and gas) can coexist in equilibrium. At the triple point, the specific heat at constant volume (Cv) and constant pressure (Cp) may not be equal. Therefore, the correct option is A, not C.

D. All temperatures:
The specific heat at constant volume (Cv) and constant pressure (Cp) of a gas are generally not equal at all temperatures. The specific heat at constant pressure (Cp) takes into account the heat required to raise the temperature of the gas and also the work done by the gas when it expands against a constant pressure. On the other hand, the specific heat at constant volume (Cv) only considers the heat required to raise the temperature of the gas. Therefore, Cp is always greater than Cv for a gas.

Conclusion:
The specific heat at constant volume (Cv) and constant pressure (Cp) of a gas are equal only at absolute zero temperature (option A). At all other temperatures, Cp is greater than Cv.

Which gas can attain the highest efficiency for the same compression rise?
  • a)
    Any of the gases
  • b)
    Diatomic gases
  • c)
    Mono atomic gases
  • d)
    Tri - atomic gases
Correct answer is option 'C'. Can you explain this answer?

Harsh Khanna answered
 
γmonoatomic> γdiatomic> γtriatomic
As efficiency is directly proportional to the ratio of specific heat (γ), so monoatomic will have the highest efficiency.

Dynamic viscosity of most of the gases with rise in temperature...
  • a)
    Increases
  • b)
    Decreases
  • c)
    Remains unaffected
  • d)
    Unpredictable
Correct answer is option 'A'. Can you explain this answer?

Subham Unni answered
The viscosity of liquids decreases with temperature, whereas the viscosity of gases increases with temperatureThis is because in a liquid the molecules possess more energy at higher temperatures, and they can oppose the large cohesive inter-molecular forces more strongly. As a result, the energized liquid molecules can move more freely.
In a gas, on the other hand, the inter-molecular forces are negligible, and the gas molecules at high temperatures move randomly at higher velocities. This results in more molecular collisions per unit volume per unit time and therefore in greater resistance to flow.

Which of the following devices complies with the Clausius statement of the second law of thermodynamics?
  • a)
    Closed-cycle gas turbine
  • b)
    Internal combustion engine
  • c)
    Steam power plant
  • d)
    Domestic refrigerator
Correct answer is option 'D'. Can you explain this answer?

Clausius statement: No device can operate on a cycle and produce effect that is solely the heat transfer from a lower-temperature body to a higher-temperature body.
Clausius statement is related to refrigerator and heat pump whereas gas turbines works on Brayton Cycle.

Which of the following represents the perpetual motion of the first kind
  • a)
    engine with 100 % thermal efficiency
  • b)
    a full reversible engine
  • c)
    transfer of heat energy from low temperature source to high temperature source
  • d)
    a machine that continuously creates its own energy
Correct answer is option 'D'. Can you explain this answer?

Puja Sharma answered
The first law of thermodynamics states that the energy can neither be created nor be destroyed. It can only get transformed from one form to another form. An imaginary device which would produce work continuously without absorbing any energy from its surroundings is called a Perpetual Motion Machine of the First kind, (PMMFK). A PMMFK is a device which violates the first law of thermodynamics. It is impossible to devise a PMMFK
The converse of the above statement is also true, i.e., there can be no machine which would continuously consume work without some other form of energy appearing simultaneously.

The triple point on a T-s diagram is ________.
  • a)
    a line
  • b)
    a point
  • c)
    a triangle
  • d)
    not present
Correct answer is option 'A'. Can you explain this answer?

Kritika Joshi answered
Triple Point on a T-s Diagram

The triple point on a T-s (temperature-entropy) diagram is represented by a line, not a point. This is because the triple point is a unique condition where all three phases of a substance (solid, liquid, and gas) coexist in thermodynamic equilibrium. Let's discuss this in more detail.

Definition of Triple Point:
The triple point is a specific combination of temperature and pressure at which a substance can exist in equilibrium in all three phases. At this point, the solid, liquid, and gas phases of the substance can coexist and are in a state of thermodynamic equilibrium.

Representation on a T-s Diagram:
A T-s diagram is a graphical representation of the thermodynamic properties of a substance as it undergoes a change in temperature and entropy. On this diagram, temperature is plotted on the vertical axis (T) and entropy is plotted on the horizontal axis (s).

At the triple point, the substance can exist in all three phases simultaneously. However, the specific values of temperature and entropy at the triple point depend on the substance being considered. For example, the triple point of water occurs at a temperature of 0.01°C and a pressure of 611.657 pascals (Pa).

The line representing the triple point on a T-s diagram is known as the triple line. It separates the regions where two phases coexist from the region where all three phases coexist. The slope of the triple line represents the ratio of the heat of vaporization to the heat of fusion for the substance.

Importance of Triple Point:
The triple point is a crucial reference point in thermodynamics because it provides a fixed and reproducible condition for temperature and pressure. It is often used as a reference in the calibration of temperature scales and pressure measurements.

Conclusion:
In conclusion, the triple point on a T-s diagram is represented by a line, not a point. It is a unique condition where all three phases of a substance coexist in thermodynamic equilibrium. The triple point is important for calibration purposes and is represented by the triple line on a T-s diagram.

In a Steady flow process,
a)heat transfer is constant
b)The ratio of work transfer is constant
c)The ratio of mass flow at inlet and outlet is same
d)All of these
Correct answer is option 'D'. Can you explain this answer?

Ayush Chawla answered
Steady Flow Process

A steady flow process refers to a thermodynamic process in which the properties of a fluid flowing through a system do not change with time. In other words, the conditions of the fluid at any given point within the system remain constant over time.

Heat Transfer

In a steady flow process, heat transfer is constant. This means that the rate of heat transfer into or out of the system remains the same throughout the process. The amount of heat added or removed per unit time is consistent, and there are no fluctuations in the heat transfer rate.

Work Transfer

The ratio of work transfer is constant in a steady flow process. This means that the amount of work done by or on the system per unit time remains the same throughout the process. The work transfer can be positive (work done by the system) or negative (work done on the system), but the ratio remains constant.

Mass Flow

In a steady flow process, the ratio of mass flow at the inlet and outlet is the same. This means that the mass entering the system is equal to the mass leaving the system. The mass flow rate is constant throughout the process, and there are no changes in the amount of mass entering or leaving the system.

Conclusion

In conclusion, all of the given options are correct for a steady flow process. Heat transfer remains constant, the ratio of work transfer is constant, and the ratio of mass flow at the inlet and outlet is the same. These characteristics define a steady flow process and are fundamental principles in thermodynamics.

A Hot Wire Anemometer is used for the measurement of ______.
  • a)
    Pressure of gases
  • b)
    Velocity of gases
  • c)
    Viscosity of gases
  • d)
    Viscosity of liquids
Correct answer is option 'B'. Can you explain this answer?

Kiran Basu answered
An anemometer is a weather monitor instrument used to measure wind speed.
Basic Principle of Hot wire Anemometer
When an electrically heated wire is placed in a flowing gas stream, heat is transferred from the wire to the gas and hence the temperature of the wire reduces, and due to this, the resistance of the wire also changes. This change in resistance of the wire becomes a measure of flow rate.

Clausius’ statement and Kelvin - Planck’s statement are ________.
  • a)
    not connected
  • b)
    two parallel statements of the second law
  • c)
    violation of one does not violates the other 
  • d)
    false statements
Correct answer is option 'B'. Can you explain this answer?

There are two statements of second law of thermodynamics.
Clausius statement: No device can operate on a cycle and produce effect that is solely the heat transfer from a lower-temperature body to a higher-temperature body
Kelvin Plank statement: It is impossible for any device that operates on a cycle to receive heat from a single reservoir and produce a net amount of work
Equivalence of two statements: If some device violates one statement, it also violates the other statement, and vice versa.

A closed bottle containing water at 30°C is carried to the moon in a space-ship. If it is placed on the surface of the moon, what will happen to the water as soon as the lid is opened 
  • a)
    Water will boil
  • b)
    Water will freeze
  • c)
    Nothing will happen on it
  • d)
    It will decompose into H2 and O2
Correct answer is option 'A'. Can you explain this answer?

Aniket Ghoshal answered
Celsius is placed in a freezer at -10 degrees Celsius. As the water cools down, its temperature decreases until it reaches the freezing point of water, which is 0 degrees Celsius. At this point, the water starts to freeze and turns into ice. The ice will continue to form until all the water is completely frozen. The bottle will contain a mixture of ice and water at 0 degrees Celsius.

An isothermal process is governed by
  • a)
    Boyle’s law
  • b)
    Charles’ law
  • c)
    Reynold’s law
  • d)
    Nobel’s law
Correct answer is option 'A'. Can you explain this answer?

Manasa Sen answered
According to Boyle’s law for a fixed mass of gas at constant temperature, the volume is inversely proportional to the pressure. That means that, for example, if you double the pressure, you will halve the volume. This can express this mathematically as PV = constant.
As isothermal process has constant temperature so governed by Boyle’s law.

According to first law of thermodynamics
  • a)
    Mass and energy are mutually convertible
  • b)
    Heat and work are mutually convertible
  • c)
    Heat flows from hot substance to cold substance
  • d)
    Carnot engine is most efficient
Correct answer is option 'B'. Can you explain this answer?

Isha Nambiar answered
According to first Law of thermodynamics, “For a closed system undergoing a cycle, net heat transfer is equal to network transfer.”
ΣQ = ΣW
So, heat and work are mutually convertible.

The entropy of water at 0 K is assumed to be
  • a)
    1 J/K
  • b)
    -1 J/K
  • c)
    10 J/K
  • d)
    0 J/K
Correct answer is option 'D'. Can you explain this answer?

Pankaj Kapoor answered
Absolute zero (0 K) is a state at which the enthalpy and entropy of a system reach their minimum value, taken as 0.
In mathematical term,
S = k ln W
Where, S is entropy
k is Boltzmann constant
W is thermodynamic probability
When W = 1, it represents the greatest order, S = 0. This occurs only at T = 0 K.
This statement is also known as Third law of thermodynamics.

At critical temperature the _______.
  • a)
    Liquid and solid phase can coexist
  • b)
    Liquid and vapour phase can coexist
  • c)
    ​solid and vapour phase can coexist
  • d)
    Liquid vapour and solid all phase can coexist
Correct answer is option 'B'. Can you explain this answer?

Avik Ghosh answered
The critical temperature is the highest temperature at which vapour and liquid phases can coexist in equilibrium. For gases, the critical temperature is the one above which a gas cannot be liquefied regardless of the pressure applied. Also, note that dryness fraction is not defined at the critical point

Three states of matter are distinguished with respect to molecules by the ______.
  • a)
    Atoms in molecules
  • b)
    Number
  • c)
    Orientation
  • d)
    Character of motion
Correct answer is option 'D'. Can you explain this answer?

Anshul Sharma answered
Matter around us exists in three different states – solid, liquid and gas. They are distinguished by their intermolecular attraction force, molecular arrangement and the mobility of the system.
Particles in a:
  • Gas vibrate and move freely at high speeds.
  • Liquid vibrate, move about, and slide past each other.
  • Solid vibrate (jiggle) but generally do not move from place to place.

If the entropy of the universe decreases. What this depicts about the nature of the process?
  • a)
    Ideal process
  • b)
    Reversible process
  • c)
    Irreversible process
  • d)
    Impossible process
Correct answer is option 'D'. Can you explain this answer?

The universe is formed by system and surrounding and considered as an isolated system.
i) The energy of the world (universe) is constant.
ii) The entropy of the world tends towards a maximum.
iii) The entropy increase of an isolated system is a measure of the extent of irreversibility of the process undergone by the system.
In actual practice the reversible isentropic process never really occurs, it is only an ideal process. In actual practice whenever there is a change in the state of the system the entropy of the system increases. The entropy of the universe increases because energy never flows uphill spontaneously.
If in any process, if the entropy of the universe decreases, then the process will be an impossible process.

A series of operations, which takes place in a certain order and restore the initial conditions at the end, is known as
  • a)
    Reversible cycle
  • b)
    Irreversible cycle
  • c)
    Thermodynamic cycle
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?

Thermodynamic Cycle:
A thermodynamic cycle refers to a series of operations or processes that occur in a certain order and return the system to its original state at the end. These cycles are important in thermodynamics as they help analyze and understand the behavior of various systems, such as engines, refrigerators, and power plants.

Reversible Cycle:
A reversible cycle is a type of thermodynamic cycle in which all the processes that make up the cycle are reversible. In a reversible process, the system changes from one state to another in such a way that it can be reversed by an infinitesimal change in some external condition, such as pressure or temperature. This means that the system can be restored to its original state without leaving any trace.

Reversible cycles are idealized cycles that do not exist in practice. However, they serve as a theoretical benchmark for evaluating the performance of real cycles. Some examples of reversible cycles include the Carnot cycle and the Stirling cycle.

Irreversible Cycle:
On the other hand, an irreversible cycle is a thermodynamic cycle in which at least one of the processes is irreversible. In an irreversible process, the system undergoes changes that cannot be reversed by an infinitesimal change in the external conditions. Irreversible processes are characterized by the presence of irreversibilities, such as friction, heat transfer through finite temperature differences, or fluid flow through a finite pressure difference.

Irreversible cycles are more common in real-world systems, as perfect reversibility is difficult to achieve. Examples of irreversible cycles include the Brayton cycle (used in gas turbines) and the Rankine cycle (used in steam power plants). These cycles involve processes that are not fully reversible due to factors such as heat transfer losses, fluid friction, and pressure drop.

Conclusion:
In the given question, the series of operations that restore the initial conditions at the end is referred to as a thermodynamic cycle. This is the correct answer because both reversible and irreversible cycles can have a well-defined sequence of processes. However, for a cycle to be reversible, all the processes within it must also be reversible.

The property of a working substance, which increases or decreases according to the heat supplied or removed in a reversible manner, is called ________.
  • a)
    Enthalpy
  • b)
    Entropy
  • c)
    Reversibility
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Snehal Tiwari answered
Entropy is a property which is a measure of energy dispersion in a system or the irreversibility. Entropy transfer is associated with heat transfer. If the heat is added to the system, then its entropy increases and if heat is lost from the system, its entropy decreases.

There is fixed mass and energy in
  • a)
    An open system
  • b)
    A thermodynamic system
  • c)
    A closed system
  • d)
    An isolated system
Correct answer is option 'D'. Can you explain this answer?

Anjali Shah answered
Closed System: There is no mass transfer across the system boundary but energy transfer takes place into or out of the system.
Open System: In this type of system both mass and energy transfer takes place across the boundary of system.
Isolated System: In this type of system neither mass nor energy crosses the boundary of the system. So it is a system with fixed mass and fixed energy.

According to which law, all perfect gases change in volume by (1/273)th of their original volume at 0°C for every 1°C change in temperature when pressure remains constant
  • a)
    Joule's law
  • b)
    Boyle's law
  • c)
    Regnault's law
  • d)
    Charles' law
Correct answer is option 'D'. Can you explain this answer?

Aniket Saini answered
temperature, when the absolute pressure remains constant." Mathematically,
Or “All perfect gases change in volume by 1 / 273 th of its original volume at 0° C for every 1° C change in temperature, when the pressure remains constant."
Boyles law: The absolute pressure of a given mass of a perfect gas varies inversely as its volume, when the temperature remains constant." Mathematically,

If the ratio of the lower to the higher absolute temperature is 7/8, then what will be the COP of the Carnot refrigerator?
  • a)
    6
  • b)
    7
  • c)
    8
  • d)
    Insufficient data
Correct answer is option 'B'. Can you explain this answer?

Avik Ghosh answered
The Carnot COP of a refrigerator working between the temperature limit of TH and TL is given as
Kindly note that the COP of Carnot heat pump or refrigerator depends only on the upper and lower temperature limits and COP is independent of the working fluid.

In a general compression process, 2 kJ of mechanical work is supplied to 4 kg of fluid and 800 J of heat is rejected to the cooling jacket. The change in specific internal energy would be
  • a)
    100 K/kg
  • b)
    1200 J/kg
  • c)
    300 J/kg
  • d)
    400 J/kg
Correct answer is option 'C'. Can you explain this answer?

Avik Ghosh answered
From the first law of thermodynamics
dQ = dU + dW
dQ = -800 J (As the heat is rejected from the system)
dW = -2000 J (as work is supplied to system)
Change in internal energy = dQ – dW = -800 – (-2000) = 1200 J
Change in specific internal energy = 1200/4 = 300 J/kg  (mass is 4 kg)

In a surrounding, the amount of irreversibility of a process undergone by a system is determined by ________.
  • a)
    entropy change of the system
  • b)
    entropy change of the surrounding
  • c)
    entropy increase of the universe
  • d)
    entropy decrease of the universe
Correct answer is option 'C'. Can you explain this answer?

The universe is formed by system and surrounding and considered as an isolated system. The entropy of the universe always tends towards a maximum. The entropy increase of an isolated system is a measure of the extent of irreversibility of the process undergone by the system.

If pressure at any point in the liquid approaches the vapor pressure, liquid starts vaporising and creates pockets or bubbles of dissolved gases and vapours. This phenomenon is ________.
  • a)
    Surface tension
  • b)
    Adhesion
  • c)
    Cavitation
  • d)
    Vaporisation
Correct answer is option 'C'. Can you explain this answer?

Anuj Chauhan answered
Correct Answer :- C
Explanation : Cavitation is a phenomenon in which rapid changes of pressure in a liquid lead to the formation of small vapor-filled cavities in places where the pressure is relatively low.
When subjected to higher pressure, these cavities, called "bubbles" or "voids", collapse and can generate a shock wave that is strong very close to the bubble, but rapidly weakens as it propagates away from the bubble.
Therefore, If pressure at any point in the liquid approaches the vapor pressure, liquid starts vaporising and creates pockets or bubbles of dissolved gases and vapours. This phenomenon is Cavitation.

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