A monoatomic ideal gas\((\gamma =\frac { 5 }{ 3 } )\)initialy at 17⁰C is suddenly compressed to one-eight of its original volume. Find the final temperature after compression.

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.

In changing the state of a gas adiabatically from an equilibrium state A 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 A to B 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)

An ideal refrigerator runs between - 23^o C and 27^o C 
(i) Also, find heat extracted from cold body.
(ii) Find coefficient of performance of the refrigerator.

What is a heat engine? What is the best way to increase efficiency of a heat engine? Is it possible to design a thermal engine that has 100% efficiency?

Two Carnot engines A and B are operated in series. The first one A receives heat at 900 K and rejects it to a reservoir at temperature T. and rejects heat to a reservoir at 400 K. Calculate temperature T when efficiencies of both A and B are equal.

One mole of an ideal gas requires 207 J heat to raise the temperature by 10 K when heated at constant pressure. Find the amount of heat required to heat the same gas to raise the temperature by same 10 K under constant volume conditions. Given R = 8.3 J mol^-1, K^-1.

The volume of an ideal gas is V at a pressure P. On increasing the pressure by ΔP, the change in volume of the gas is (ΔV₁) under isothermal conditions and (ΔV₂) under adiabatic conditions. Is ΔV₁ > ΔV₂ or vice-versa and why?

A car tyre contains air at a pressure of 4 atm and its temperature is 27⁰C. The tyre suddenly bursts. Calculate the resulting temperature. (⋎ = 1.4)

Why can't the efficiency of an internal combustion engine be raised beyond a limit?

Calculate the efficiency of a Carnot's engine working between steam point and ice point.

Anoop who is the student of class VIII went to a village in Rajasthan with his elder brother a science graduate. It was a month of June. He realised that during the day time, it was extreme hot but during the night it was too cold. He asked his elder brother the reason behind it. Anoop did not feel like it at his residence in Delhi. His brother explained him about Newton's cooling law that in desert places, the sand becomes too hot during day time and according to Newton's Law of cooling "The rate of heating is equal to rate of cooling". Anoop understood this reason very well and became happy.
(i) What qualities, Anoop possess?
(ii) The climate of a harbour town is more temperate than that of a town in a desert at the same altitude. Why