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 :

Question

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 MAIN 2023, Medium

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Solution

$\Delta U = nC _{ v } \Delta T$

For isothermal process $T$ is constant

So $\Delta U =0$

$A \longrightarrow II$

Adiabatic process

$\Delta Q =0$

$\Delta Q =\Delta U +\Delta W$

$\quad \Delta U =-\Delta W$

Work done by gas is positive

So $\Delta U$ is negative

$B \longrightarrow I$

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.

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