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Question 12.1 A geyser heats water flowing at the rate of 3.0 litres 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 ?
Question 12.2 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; R = 8.3 J mol–1 K–1.)
Question 12.3 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.
Question 12.4 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 ?
Question 12.5 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)
Question 12.6 Two cylinders A and B of equal capacity are connected to each other via a stopcock.
A 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 A 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 ?
Question 12.7 A steam engine delivers 5.4×108J of work per minute and services 3.6 × 109J of heat
per minute from its boiler. What is the efficiency of the engine? How much heat is
wasted per minute?
Question 12.8 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?
Question 12.9 A thermodynamic system is taken from an original state to an intermediate state by
the linear process shown in Fig. (12.13) 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
Question 12.10 A refrigerator is to maintain eatables kept inside at 90C. If room temperature is 360C,
calculate the coefficient of performance .
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