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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
For a gas, the difference between the two specific heats is $4150\, J\, kg^{-1}\, K^{-1}$ and the ratio of the two specific heats is $1.4$. What is the specific heat of the gas at constant volume in units of $J\, kg^{-1}\, K^{-1}$ ?
  • A
    $8475$
  • B
    $5186$
  • C
    $1660$
  • ✓
    $10375$
✓

Answer

Correct option: D.
$10375$
d
$\mathrm{By} \frac{\mathrm{C}_{\mathrm{p}}}{\mathrm{C}_{\mathrm{v}}}=1.4$ and $\mathrm{C}_{\mathrm{p}}-\mathrm{C}_{\mathrm{v}}=4150$

$\Rightarrow \mathrm{C}_{\mathrm{v}}=10375 \mathrm{Jkg}^{-1} \mathrm{k}^{-1}$

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