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Q. Match List I with List II
LIST I LIST II
A Isothermal Process I Work done by the gas decreases internal energy
B Adiabatic Process II No change in internal energy
C Isochoric Process III The heat absorbed goes partly to increase internal energy and partly to do work
D Isobaric Process IV No work is done on or by the gas
Choose the correct answer from the options given below:

JEE MainJEE Main 2023Thermodynamics

Solution:

$\Delta U = nC _{ v } \Delta T$
For isothermal process $T$ is constant
So $\Delta U =0$
$A \longrightarrow II$
Adiabatic process
$ \Delta Q = 0 $
$ \Delta Q =\Delta U +\Delta W $
$\Delta U =-\Delta W$
Work done by gas is positive
So $\Delta U$ is negative
$\text { B } \longrightarrow \text { I }$
For Isochoric process $\Delta W =0$
$C \longrightarrow IV$
For Isobaric process
$\Delta W = P \Delta V \neq 0$
$\Delta U = nC _{ V } \Delta T \neq 0$
Heat absorbed goes partly to increase internal energy and partly do work.