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12 . kinetic theory of gases — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics12 . kinetic theory of gases1 Mark
MCQ
When heat $Q$ is supplied to a diatomic gas of rigid molecules at constant volume its temperature increases by $\Delta T.$ The heat required to produce the same change in temperature, at constant pressure is
  • A
    $\frac {3}{2}\,Q$
  • B
    $\frac {5}{3}\,Q$
  • ✓
    $\frac {7}{5}\,Q$
  • D
    $\frac {2}{3}\,Q$
✓

Answer

Correct option: C.
$\frac {7}{5}\,Q$
c
$Q=C v \Delta T$

$Q^{\prime}=C_{P} \Delta T$

$Q^{\prime}=\frac{C_{P}}{C_{V}} Q=\left(1+\frac{2}{5}\right) Q=\frac{7}{5} Q$

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