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Thermodynamics NCERT Solutions | Physics Class 11 - NEET PDF Download

Q 11.1: A geyser heats water flowing at the rate of 3.0 liters per minute from 27°C to 77°C. If the geyser operates on a gas burner, what is the rate of consumption of the fuel if its heat of combustion is 4.0 × 104 J/g?
Ans: Volume of water heated = 3.0 litre per minute Mass of water heated, m = 3000g per minute Increase in temperature,
ΔT - 77°C - 27°C = 50°C
Specific heat of water, c = 4.2 Jg-1°C-1
amount of heat used,  Q  =  mc ΔT
or Thermodynamics NCERT Solutions | Physics Class 11 - NEET
Rate of combustion of fuel   Thermodynamics NCERT Solutions | Physics Class 11 - NEET 


Q 11.2: What amount of heat must be supplied to 2.0 × 10–2 kg of nitrogen (at room temperature) to raise its temperature by 45 °C at constant pressure? (Molecular mass of N2 = 28; = 8.3 J mol–1 K–1.)
Ans:
Here, mass of gas, Thermodynamics NCERT Solutions | Physics Class 11 - NEET
rise in temperature,Thermodynamics NCERT Solutions | Physics Class 11 - NEET
Heat required.  Thermodynamics NCERT Solutions | Physics Class 11 - NEET Molecular mass, M = 28
Number of moles, Thermodynamics NCERT Solutions | Physics Class 11 - NEET
As nitrogen is a diatomic gas, molar specific heat at constant pressure is
Thermodynamics NCERT Solutions | Physics Class 11 - NEET
As  Thermodynamics NCERT Solutions | Physics Class 11 - NEET
Thermodynamics NCERT Solutions | Physics Class 11 - NEET


Q 11.3: Explain why
(a) Two bodies at different temperatures T1 and T2, if brought in thermal contact, do not necessarily settle to the mean temperature (T1 + T2)/2.
(b) The coolant in a chemical or a nuclear plant (i.e., the liquid used to prevent the different parts of a plant from getting too hot) should have high specific heat.
(c) Air pressure in a car tyre increases during driving.
(d) The climate of a harbour town is more temperate than that of a town in a desert at the same latitude.
Ans:
(a) In thermal contact, heat flows from the body at higher temperature to the body at lower temperature till temperatures become equal. The equilibrium temperature can be the mean temperature (T1 + T2 )/2 only when thermal capacities of the two bodies are equal.
(b) This is because heat absorbed by a substance is directly proportional to the specific heat of the substance.
(c) When car is driven, some work is being done on types in order to overcome dissipative forces of friction and air resistance etc. This work done is transformed into heat, due to which temperature of the car types increases.
(d) The climate of a harbour town is more temperate (neither too hot nor too cool) due to formation of sea breeze at day time and land breeze at night time as already explained.


Q 11.4: A cylinder with a movable piston contains 3 moles of hydrogen at standard temperature and pressure. The walls of the cylinder are made of a heat insulator, and the piston is insulated by having a pile of sand on it. By what factor does the pressure of the gas increase if the gas is compressed to half its original volume?
Ans:
Here the process is adiabatic compression and  Thermodynamics NCERT Solutions | Physics Class 11 - NEET atm and for hydrogen (a diatomic gas) γ = 1.4.
Thermodynamics NCERT Solutions | Physics Class 11 - NEETThermodynamics NCERT Solutions | Physics Class 11 - NEET
⇒ = P2 (2)1.4 atm
= 2.639 atm,


Q 11.5: In changing the state of a gas adiabatically from an equilibrium state to another equilibrium state B, an amount of work equal to 22.3 J is done on the system. If the gas is taken from state to via a process in which the net heat absorbed by the system is 9.35 cal, how much is the net work done by the system in the latter case? (Take 1 cal = 4.19 J)

Ans: Here, when the change is adiabatic, Thermodynamics NCERT Solutions | Physics Class 11 - NEET
If Thermodynamics NCERT Solutions | Physics Class 11 - NEET is change in internal energy of. the system, then
as    Thermodynamics NCERT Solutions | Physics Class 11 - NEET
Thermodynamics NCERT Solutions | Physics Class 11 - NEET
In the second case. Thermodynamics NCERT Solutions | Physics Class 11 - NEET

ΔW = ?
As Thermodynamics NCERT Solutions | Physics Class 11 - NEET + ΔW = ΔQ
ΔW = ΔQ - Thermodynamics NCERT Solutions | Physics Class 11 - NEET = 39.3 -22.3 - 17.0 J.


Q 11.6: Two cylinders and of equal capacity are connected to each other via a stopcock. contains a gas at standard temperature and pressure. B  is completely evacuated. The entire system is thermally insulated. The stopcock is suddenly opened. Answer the following:
(a) What is the final pressure of the gas in and B?
(b) What is the change in internal energy of the gas?
(c) What is the change in the temperature of the gas?
(d) Do the intermediate states of the system (before settling to the final equilibrium state) lie on its P-V-T surface?
Ans:
(a) Since the external temperature and initial temperature remain the same,

P2V2 = P1V1
But P1 = 1 atm, V1 = V, V2 = 2V and P2 - ?
Thermodynamics NCERT Solutions | Physics Class 11 - NEET
(b) Since the temperature of the system remains unchanged, change in internal energy is zero.
(c) The system being thermally insulated, there is no change in temperature (because of free expansion)
(d) The expansion is a free expansion. Therefore, the intermediate states are non equilibrium states and the gas equation is not satisfied in these states. As a result, the gas can not return to an equilibrium state which lie on the P-V-T surface. 

Q 11.7: An electric heater supplies heat to a system at a rate of 100W. If system performs work at a rate of 75 joules per second. At what rate is the internal energy increasing?
Ans:
According to law of conservation of energy
Total energy = work done + internal energy
ΔQ = ΔW + ΔU
Here,
Rate at which heat is supplied ΔQ = 100 W
Rate at which work is done ΔW = 75 Js-1
Rate of change of internal energy is ΔU
ΔU = ΔQ – ΔW
ΔU = 100 – 75
We get,
ΔU = 25 J s-1
Hence,
The internal energy of the system is increasing at a rate of 25 W.

Q 11.8: A thermodynamic system is taken from an original state to an intermediate state by the linear process shown in Fig.Its volume is then reduced to the original value from E to F by an isobaric process. Calculate the total work done by the gas from D to E to F.
Thermodynamics NCERT Solutions | Physics Class 11 - NEETAns:
As is clear from Fig.
Change in pressure, ΔP = EF = 5.0 - 2-0 “ 3-0 atm = 3.0 * 105 Nm-2
Change in volume, ΔV=DF = 600 - 300 = 300 cc
= 300 * 10-6 m3
Work done by the gas from D to E to F = area of ΔDEF
Thermodynamics NCERT Solutions | Physics Class 11 - NEETThermodynamics NCERT Solutions | Physics Class 11 - NEET


Old NCERT Solutions

Q 1: A steam engine delivers 5.4×10J of work per minute and services 3.6 × 10J of heat per minute from its boiler. What is the efficiency of the engine? How much heat is wasted per minute?
Ans: 
Work done by the steam engine per minute, W = 5.4 × 108 J
Heat supplied from the boiler, H = 3.6 × 109 J
Thermodynamics NCERT Solutions | Physics Class 11 - NEET
Heat energy wasted/ minute
= Heat energy, absorbed/minute - Useful work done/minute
Thermodynamics NCERT Solutions | Physics Class 11 - NEET
Since    ΔQ = Thermodynamics NCERT Solutions | Physics Class 11 - NEET + ΔW
∴ Change in internal energy, Thermodynamics NCERT Solutions | Physics Class 11 - NEET = ΔQ - ΔW
- 100 - 75 = 25 J/s.

Q 2: A refrigerator is to maintain eatables kept inside at 9 °C, if room temperature is 36 °C. Calculate the coefficient of performance.
Ans:
Here,  T1 = 36°C = (36 + 273) K = 309 K
T2 = 9°C = (9 + 273) K = 282 K
Coefficient of performance, Thermodynamics NCERT Solutions | Physics Class 11 - NEET

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FAQs on Thermodynamics NCERT Solutions - Physics Class 11 - NEET

1. What is thermodynamics?
Ans. Thermodynamics is a branch of physics that deals with the study of energy and its transformation between different forms. It focuses on understanding the behavior of systems and the transfer of energy in the form of heat and work.
2. What are the laws of thermodynamics?
Ans. The laws of thermodynamics are fundamental principles that govern the behavior of energy in a system. They are as follows: - First Law: Also known as the law of conservation of energy, it states that energy cannot be created or destroyed in an isolated system, only transferred or transformed. - Second Law: This law states that the entropy of an isolated system always increases over time, indicating the tendency towards disorder. - Third Law: The third law states that as the temperature approaches absolute zero, the entropy of a pure crystalline substance becomes zero.
3. How is thermodynamics applied in everyday life?
Ans. Thermodynamics has various applications in our daily lives. Some examples include: - Refrigerators and air conditioners: These devices work based on the principles of thermodynamics to transfer heat from one place to another. - Cooking: Thermodynamics plays a crucial role in the process of cooking as it involves heat transfer, temperature control, and energy conversion. - Car engines: The internal combustion engines in cars utilize thermodynamics to convert chemical energy into mechanical energy.
4. What is the difference between heat and work in thermodynamics?
Ans. In thermodynamics, heat and work are both forms of energy transfer. The main difference between them is the mechanism of transfer: - Heat: Heat is the transfer of energy between two objects due to a temperature difference. It can flow spontaneously from a higher temperature object to a lower temperature object. - Work: Work is the transfer of energy that occurs due to a force acting on an object and causing its displacement. It requires an external force to be applied to transfer energy.
5. What are the different types of thermodynamic processes?
Ans. There are four main types of thermodynamic processes: - Isothermal process: In an isothermal process, the system's temperature remains constant. This means that the heat added or removed is balanced by an equal amount of work done by or on the system. - Adiabatic process: An adiabatic process is one in which there is no heat transfer between the system and its surroundings. Any change in the system's internal energy is solely due to work. - Isobaric process: In an isobaric process, the system's pressure remains constant. This means that work is done on or by the system while the system's volume changes. - Isochoric process: Also known as an isovolumetric process, an isochoric process occurs at a constant volume. In this process, no work is done as the volume remains constant.
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