Question

One mole of a monatomic ideal gas undergoes four thermodynamic processes as shown schematically in the $PV$-diagram below. Among these four processes, one is isobaric, one is isochoric, one is isothermal and one is adiabatic. Match the processes mentioned in List-1 with the corresponding statements in List-II.

List-I	List-II
P. In process I	1. Work done by the gas is zero
Q. In process II	2 Temperature of the gas remains unchanged
R. In process III	3 No heat is exchanged between the gas and its surroundings
S. In process IV	4 Work done by the gas is $6P_0{V}_0$

• A. $P\to 4;Q\to 3;R\to 1;S\to 2$
• B. $P\to 1;Q\to 3;R\to 2;S\to 4$
• C. $P\to 3;Q\to 4;R\to 1;S\to 2$
• D. $P\to 3;Q\to 4;R\to 2;S\to 1$

Answer 1

The correct option is C $P\to 3;Q\to 4;R\to 1;S\to 2$

Process 1 is adiabatic process, hence $Q=0$
Process 2 is isobaric process, hence $W=p.\Delta V=6P_0{V}_0$
Process 3 is isochoric, hence $W=0$
Process 4 is isothermal