Engineering
Physics
Thermodynamics
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 6P0V0

P → 1

Q → 3

R → 2 

S → 4

P → 3

Q → 4

R → 2

S → 1

P → 3

Q → 4

R → 1

S → 2

P → 4 

Q → 3 

R → 1 

S → 2

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Solution

Process I : Adiabatic as negative of slope is greater i.e. zdpdv=− γpv

Process IV : Isothermal process

Process III : Isochoric process

Process II :  Isobaric process

Process I : No heat exchange

Process II : Work done = PDV

= 3P0 (3V0 – V0)

= 6P0V0 

Process III : Work done is zero as there is no volume change

Process IV : Since isothermal process i.e. temp. remains unchanged.

Option (C)