Question

An ideal gas $$A$$ and a real gas $$B$$ have their volumes increased from $$V$$ to $$2V$$ under isothermal conditions. The increase in internal energy

A. will be same in both $$A$$ and $$B$$
B. will be zero in both the gases  
C. of $$B$$ will be more than that of $$A$$
D. of $$A$$ will be more than that of $$B$$
Answer :   will be zero in both the gases
Solution :
A change in pressure and volume of a gas without any change in its temperature is called an isothermal change. In such a change, there is a free exchange of heat between the gas and its surroundings.
$$\therefore T = {\text{constant,}}\,\,\Delta T = 0$$
So, internal energy $$\left( U \right)$$ remains constant is $$\left( {\Delta U = 0} \right).$$

Releted MCQ Question on
Heat and Thermodynamics >> Thermodynamics

Releted Question 1

An ideal monatomic gas is taken round the cycle $$ABCDA$$   as shown in the $$P - V$$  diagram (see Fig.). The work done during the cycle is
Thermodynamics mcq question image

A. $$PV$$
B. $$2PV$$
C. $$\frac{1}{2}PV$$
D. zero
Releted Question 2

If one mole of a monatomic gas $$\left( {\gamma = \frac{5}{3}} \right)$$  is mixed with one mole of a diatomic gas $$\left( {\gamma = \frac{7}{5}} \right)$$  the value of $$\gamma $$ for mixture is

A. 1.40
B. 1.50
C. 1.53
D. 3.07
Releted Question 3

A closed compartment containing gas is moving with some acceleration in horizontal direction. Neglect effect of gravity. Then the pressure in the compartment is

A. same everywhere
B. lower in the front side
C. lower in the rear side
D. lower in the upper side
Releted Question 4

A gas mixture consists of 2 moles of oxygen and 4 moles of argon at temperature $$T.$$ Neglecting all vibrational modes, the total internal energy of the system is

A. $$4\, RT$$
B. $$15\, RT$$
C. $$9\, RT$$
D. $$11\, RT$$

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Thermodynamics


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