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Test: First Law Of Thermodynamics - 1 - Mechanical Engineering MCQ


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20 Questions MCQ Test GATE Mechanical (ME) Mock Test Series 2025 - Test: First Law Of Thermodynamics - 1

Test: First Law Of Thermodynamics - 1 for Mechanical Engineering 2024 is part of GATE Mechanical (ME) Mock Test Series 2025 preparation. The Test: First Law Of Thermodynamics - 1 questions and answers have been prepared according to the Mechanical Engineering exam syllabus.The Test: First Law Of Thermodynamics - 1 MCQs are made for Mechanical Engineering 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: First Law Of Thermodynamics - 1 below.
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Test: First Law Of Thermodynamics - 1 - Question 1

The inlet and the outlet conditions of steam for an adiabatic steam turbine are as indicated in the figure. The notations are as usually followed. 

If mass flow rate of steam through the turbine is 20 kg/s the power output of the turbine (in MW) is:

Detailed Solution for Test: First Law Of Thermodynamics - 1 - Question 1

Test: First Law Of Thermodynamics - 1 - Question 2

The following four figures have been drawn to represent a fictitious thermodynamic cycle, on the p-v and T-s planes.

According to the first law of thermodynamics, equal areas are enclosed by

Detailed Solution for Test: First Law Of Thermodynamics - 1 - Question 2

Fig-1 & 2 both are power cycle, so equal areas but fig-3 & 4 are reverse power cycle, so area is not meant something.

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Test: First Law Of Thermodynamics - 1 - Question 3

The contents of a well-insulated tank are heated by a resistor of 23 ohm in which 10 A current is flowing. Consider the tank along with its contents as a thermodynamic system. The work done by the system and the heat transfer to the system are positive. The rates of heat (Q), work (W) and change in internal energy (ΔU) during the process in kW are

Detailed Solution for Test: First Law Of Thermodynamics - 1 - Question 3

electric work = I2R = 2.3 kW

On the system ⇒ W = -2.3 kW

& ΔU = -W = 2.3 kW

Test: First Law Of Thermodynamics - 1 - Question 4

Which one of the following sets of thermodynamic laws/relations is directly involved in determining the final properties during an adiabatic mixing process?

Detailed Solution for Test: First Law Of Thermodynamics - 1 - Question 4

If we adiabatically mix two liquid then perfect gas law is not necessary. But entropy change in the universe must be calculated by Second law of thermodynamics. Final entropy of then system is also a property. That so why we need second law.

Test: First Law Of Thermodynamics - 1 - Question 5

For a closed system, the difference between the heat added to the system and the work done by the system is equal to the change in

Detailed Solution for Test: First Law Of Thermodynamics - 1 - Question 5

From First law of thermodynamics, for a closed system the net energy transferred as heat Q and as work W is equal to the change in internal energy, U, i.e. Q – W = U

Test: First Law Of Thermodynamics - 1 - Question 6

Which one of the following is correct?

The cyclic integral of    for a process is:

Detailed Solution for Test: First Law Of Thermodynamics - 1 - Question 6

It is du = đQ – đW, as u is a thermodynamic property and its cyclic integral must be zero.

Test: First Law Of Thermodynamics - 1 - Question 7

A gas is compressed in a cylinder by a movable piston to a volume one-half of its original volume. During the process, 300 kJ heat left the gas and the internal energy remained same. What is the work done on the gas?

Detailed Solution for Test: First Law Of Thermodynamics - 1 - Question 7

 

Since the internal energy of the system is constant ie. dU = 0, by first law we can conclude that dQ = dW +dU
Which then reduces to dQ = dW = 300 kJ

Test: First Law Of Thermodynamics - 1 - Question 8

Gas contained in a closed system consisting of piston cylinder arrangement is expanded. Work done by the gas during expansion is 50 kJ. Decrease in internal energy of the gas during expansion is 30 kJ. Heat transfer during the process is equal to:

Detailed Solution for Test: First Law Of Thermodynamics - 1 - Question 8

Test: First Law Of Thermodynamics - 1 - Question 9

The values of heat transfer and work transfer for four processes of a thermodynamic cycle are given below:

The thermal efficiency and work ratio for the cycle will be respectively.

Detailed Solution for Test: First Law Of Thermodynamics - 1 - Question 9

Test: First Law Of Thermodynamics - 1 - Question 10

For a simple closed system of constant composition, the difference between the net heat and work interactions is identifiable as the change in

Detailed Solution for Test: First Law Of Thermodynamics - 1 - Question 10

Internal energy is the sum of potential energy of the system and the system's kinetic energy. The change in internal energy (ΔU) of a reaction is equal to the heat gained or lost (enthalpy change) in a reaction when the reaction is run at constant pressure.

Test: First Law Of Thermodynamics - 1 - Question 11

Change in internal energy in a reversible process occurring in a closed system is equal to the heat transferred if the process occurs at constant:

Detailed Solution for Test: First Law Of Thermodynamics - 1 - Question 11

Test: First Law Of Thermodynamics - 1 - Question 12

85 kJ of heat is supplied to a closed system at constant volume. During the next process, the system rejects 90 kJ of heat at constant pressure while 20 kJ of work is done on it. The system is brought to the original state by an adiabatic process. The initial internal energy is 100 kJ. Then what is the quantity of work transfer during the process?

Detailed Solution for Test: First Law Of Thermodynamics - 1 - Question 12

Test: First Law Of Thermodynamics - 1 - Question 13

 Which of the following is NOT a path function?

Detailed Solution for Test: First Law Of Thermodynamics - 1 - Question 13

In thermodynamics, energy can be in two forms, energy in transit and energy in storage. Energy in transit is a path function as the transfer of this energy through the boundaries of the system depends on the path which is followed by the system in the process. But energy in storage does not cross the boundaries of the system; hence it is a point function. Heat transfer as well as work transfer between the system and surrounding depends upon the path by which the process is occurred. Therefore heat energy and work energy are the path functions. Energy in storage is the internal energy. The change in internal energy (ΔE) remains constant, no matter which path is followed by a system to undergo a change of a certain state. Thus internal energy is a point function or state function.

Test: First Law Of Thermodynamics - 1 - Question 14

When a system is taken from state A to state B along the path A-C-B, 180 kJ of heat flows into the system and it does 130 kJ of work (see figure given):

How much heat will flow into the system along the path A-D-B if the work done by it along the path is 40 kJ?

Detailed Solution for Test: First Law Of Thermodynamics - 1 - Question 14

Change of internal energy from A to B along path ACB = 180 - 130 = 50 kJ. It will be same even along path ADB.

∴ Heat flow along ADB = 40 + 50 = 90 kJ.

Test: First Law Of Thermodynamics - 1 - Question 15

When a gas is heated at constant pressure, the percentage of the energy supplied, which goes as the internal energy of the gas is:

Detailed Solution for Test: First Law Of Thermodynamics - 1 - Question 15

1. Same for monatomic, diatomic and triatomic gases but less than 100%

Explanation: When a gas is heated at constant pressure, the energy supplied increases both the internal energy of the gas and does work on the surroundings. The internal energy of the gas increases by the amount of heat supplied, while some of the energy is used to do work (expansion against the external pressure). Therefore, not all of the energy supplied goes into increasing the internal energy of the gas.

Test: First Law Of Thermodynamics - 1 - Question 16

Assertion (A): If the enthalpy of a closed system decreases by 25 kJ while the system receives 30 kJ of energy by heat transfer, the work done by the system is 55 kJ.

Reason (R): The first law energy balance for a closed system is (notations have their usual meaning)  

Test: First Law Of Thermodynamics - 1 - Question 17

Which one of the following is the steady flow energy equation for a boiler?

Detailed Solution for Test: First Law Of Thermodynamics - 1 - Question 17

For boiler v1, v2 is negligible and z1 = z2 and 

Test: First Law Of Thermodynamics - 1 - Question 18

An insulated tank initially contains 0.25 kg of a gas with an internal energy of 200 kJ/kg .Additional gas with an internal energy of 300 kJ/kg and an enthalpy of 400 kJ/kg enters the tank until the total mass of gas contained is 1 kg. What is the final internal energy(in kJ/kg) of the gas in the tank?

Detailed Solution for Test: First Law Of Thermodynamics - 1 - Question 18

Given: Quantity of gas = 0.25 kg
Internal energy = 200kg
Additional gas = 300kg
Enthalpy entering the tank = 400kg
To Find: Internal energy of gas in the tank
Solution:
U = u1m1 + ( 1-m1 )h
U = 200 . 0.25 + ( 1 - 0.25) . 400 = 350
U = 350
Answer: The final internal energy is 350 kJ.

Test: First Law Of Thermodynamics - 1 - Question 19

Two ideal heat engine cycles are represented in the given figure. Assume VQ = QR, PQ = QS and UP =PR =RT. If the work interaction for the rectangular cycle (WVUR) is 48 Nm, then the work interaction for the other cycle PST is

Detailed Solution for Test: First Law Of Thermodynamics - 1 - Question 19

Test: First Law Of Thermodynamics - 1 - Question 20

If a heat engine gives an output of 3 kW when the input is 10,000 J/s, then the thermal efficiency of the engine will be:

Detailed Solution for Test: First Law Of Thermodynamics - 1 - Question 20

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