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Revision Quiz | Thermodynamics

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Question 1

An ideal gas is taken through the cycle

as shown in figure. If the heat supplied to the gas in the cycle is 5J. The work done by the gas in the process

Question 2

One mole of a monoatomic gas is taken from a point A to B along path ACB. The initial temperature at A is T₀. The heat absorbed by the gas in the process A → C → B is -

Question 3

The temperature difference between hot (T_H) and cold (T_C) reservoirs of two Carnot engines A and B are the same. If the ratio of the respective efficiencies, then the ratio of hot reservoir temperatures is

Question 4

A real engine operates at 75% of the efficiency of a Carnot engine operating between the same two temperatures. This engine has a
power output of 100 W and discharges heat into the 27 ºC low-temperature reservoir at a rate of 300 J/s. what is the temperature of the high-temperature reservoir?

Question 5

The temperature of steam coming from a boiler to a cylinder of a steam engine is 120 °C; the steam condenses in a cold reservoir with a temperature of 40 °C. What is the maximum work performed by the engine in ideal conditions with a heat consumption of 4.2 kJ?

Question 6

In an isothermal and reversible expansion of 96 g of oxygen at 27 ºC temperature, the work done is 900 R log₁₀2. The ratio of final to initial volume is–

Question 7

Two containers A and B are identical which is fitted with frictionless pistons contain the same ideal gas at the same temperature and the same volume V. Then the mass of the gas in ‘A’ is

and that in B is (Given that

P_b = 1.5

Pa for isothermal process)

Question 8

The P – V diagram for 2 moles of an ideal gas undergoing a process

is shown in figure. The maximum temperature of the gas during the process is

Question 9

Two moles each of ideal diatomic gas at 300K and mono atomic gas at 800K is allowed to mixed in a perfectly insulated fixed volume container what will be the final temperature of the mixture at equilibrium.

Question 10

One mole of an ideal monatomic gas is taken from temperature T₀ to 2T₀ by the process PT^–4= C. Considering the following statements choose the correct alternative.
I. Molar heat capacity of the gas is

II. Molar heat capacity of the gas is

III. Work done is – 3RT₀
IV. Work done is 3RT₀

Question 11

During an experiment, an ideal gas is found to obey an additional law Vp²=constant. The gas is initially at temperature T and volume V. What will be the temperature of the gas when it expand to a volume 2V?

Question 12

In an adiabatic process where in pressure is increased by 2/3%, if

, then the volume decreases by about.

Question 13

A Carnot engine is converting 1/4th of the heat which it absorbs from the source into work. What would be the temperature of the sink when the temperature of the sink is reduced by 100˚C and the efficiency is doubled?

Question 14

1 mole of an ideal gas does 6R joule of work adiabatically at an initial temperature of T K. If the ratio of specific heats of this gas at constant pressure and at constant volume is 5/3, then final temperature of the gas will be

Question 15

An ideal monoatomic gas is confined in a cylinder by a spring loaded piston of cross section

. Initially the gas is at 300K and occupies a volume of

and the spring is in its relaxed state as shown in figure. The gas is heated by a small heater until the piston moves out slowly by 0.1 m. The force constant of the spring is 8000 N/m and the atmospheric pressure is

. The cylinder and the piston are thermally insulated. The piston and the spring are massless and there is no friction between the piston and the cylinder. The final temperature of the gas will be (in K) :
(Neglect the heat loss through the lead wires of the heater. The heat capacity of the heater coil is also negligible)

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Dec 6JEE & BITSAT