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5. Thermodynamics and thermochemistry — Chemistry STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceChemistry5. Thermodynamics and thermochemistry1 Mark
MCQ
$6$ moles of an ideal gas expand isothermally and reversibly from a volume of $1$ litre to a volume of $10$ litres at $27\,^oC$. What is the maximum work done
  • A
    $47$ $kJ$
  • B
    $100$ $kJ$
  • C
    $0$ $kJ$
  • ✓
    $34.465$ $kJ$
✓

Answer

Correct option: D.
$34.465$ $kJ$
d
Workdone in isothermal reversible expansion $\mathrm{W}=\mathrm{P} \Delta \mathrm{V}$

$\mathrm{W}=-2.303 \,\mathrm{nRT} \log \frac{\mathrm{V}_{2}}{\mathrm{V}_{1}}$

$=-2.303 \times 6 \times 8.314 \times 300 \log \frac{10}{1}$

$=34464.8$ $Joule$ $=34.465\, \mathrm{kJ}$

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