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 :
Solution
$\Delta \mathrm{U}=\mathrm{nC}_{\mathrm{v}} \Delta \mathrm{T}$<br/><br/>
For isothermal process $\mathrm{T}$ is constant<br/><br/>
So $\Delta \mathrm{U}=0$<br/><br/>
$\mathrm{A} \longrightarrow \mathrm{II}$<br/><br/>
Adiabatic process<br/><br/>
$$
\begin{aligned}
& \Delta \mathrm{Q}=0 \\\\
& \Delta \mathrm{Q}=\Delta \mathrm{U}+\Delta \mathrm{W} \\\\
& \Delta \mathrm{U}=-\Delta \mathrm{W}
\end{aligned}
$$<br/><br/>
Work done by gas is positive<br/><br/>
So $\Delta \mathrm{U}$ is negative<br/><br/>
$\text { B } \longrightarrow \text { I }$<br/><br/>
For Isochoric process $\Delta \mathrm{W}=0$<br/><br/>
$\mathrm{C} \longrightarrow \mathrm{IV}$<br/><br/>
For Isobaric process<br/><br/>
$$
\begin{aligned}
& \Delta \mathrm{W}=\mathrm{P} \Delta \mathrm{V} \neq 0 \\\\
& \Delta \mathrm{U}=\mathrm{nC}_{\mathrm{V}} \Delta \mathrm{T} \neq 0
\end{aligned}
$$<br/><br/>
Heat absorbed goes partly to increase internal energy and partly to do work.
About this question
Subject: Physics · Chapter: Thermodynamics · Topic: Zeroth and First Law
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