Home Physics Thermodynamics NTA Abhiyas Question An ideal gas expands isothermally from volum…
Physics Thermodynamics NTA Abhiyas Question MCQ (Single Correct)

An ideal gas expands isothermally from volume V 1 to V 1 and then it is adiabatically compressed back to its original volume Vi. The initial and final pressures of the gas are pl and ps respectively and the net work done by the gas is W, then

A
P 3 > P 1 , W > 0
B
P 3 < P 1 , W < 0
C
P 3 > P 1 , W < 0
D
P 3 = P 1 , W = 0

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Text Solution

Verified by Experts
The correct answer is:
C

P 3 >P 1 , W<0

The two processes are shown in the following P-V diagram:

For iothermal process:

P 1 V 1 = P 2 V 2

i.e.,

For adiabatic process:

i.e.,

As > 1, hence P 3 > P 1

Further, as slope of adiabatic curve is greater than that of isothermal process curve, adiabatic curve will

lie above the isothermal curve. That is, area under adiabatic curve > area under isothermal curve

i.e., Negative work > Positive work

i.e.,W<0

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