An ideal gas expands by performing $200 \mathrm{~J}$ of work, during this internal energy increases by $432…
An ideal gas expands by performing $200 \mathrm{~J}$ of work, during this internal energy increases by $432 \mathrm{~J}$. What is enthalpy change?
- $200 \mathrm{J}$
- $232 \mathrm{J}$
- $432 \mathrm{J}$
- $632 \mathrm{J}$
Solution
Assuming constant pressure,
$\Delta \mathrm{H}=\Delta \mathrm{U}+\mathrm{P}_{\mathrm{ext}} \Delta \mathrm{V}=\Delta \mathrm{U}-\mathrm{W}$
Work done $(\mathrm{W})=-200 \mathrm{~J}$ (for expansion of a gas)
$\begin{aligned}
& \Delta \mathrm{U}=+432 \mathrm{~J} \\
& \Delta \mathrm{H}=\Delta \mathrm{U}-\mathrm{W}=+432-(-200)=+632 \mathrm{~J}
\end{aligned}$
Asked in: MHT CET 2023 (09 May Shift 1)
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