MHT CET · Chemistry · Thermodynamics (C)
2 moles of an ideal gas expands isothermally from \(5 \mathrm{dm}^3\) to \(10 \mathrm{dm}^3\) at a constant external pressure of 1.5 bar. Calculate work done.
- A \(7.5 \mathrm{dm}^3\) bar
- B \(-7.5 \mathrm{dm}^3\) bar
- C \(22.5 \mathrm{dm}^3\) bar
- D \(-22.5 \mathrm{dm}^3\) bar
Answer & Solution
Correct Answer
(B) \(-7.5 \mathrm{dm}^3\) bar
Step-by-step Solution
Detailed explanation
\(\mathrm{V}_{\mathrm{l}}=5 \mathrm{dm}^3, \mathrm{~V}_2=10 \mathrm{dm}^3, \mathrm{P}_{\mathrm{ext}}=1.5 \mathrm{bar} \)
\( \mathrm{W}=-\mathrm{P}_{\mathrm{ext}}\left(\mathrm{V}_2-\mathrm{V}_1\right)=-1.5(10-5)\) \(=-7.5 \mathrm{dm}^3 \mathrm{bar}\)
\( \mathrm{W}=-\mathrm{P}_{\mathrm{ext}}\left(\mathrm{V}_2-\mathrm{V}_1\right)=-1.5(10-5)\) \(=-7.5 \mathrm{dm}^3 \mathrm{bar}\)
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