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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 if $\gamma = 1.4$, then atomicity, ${C_p}$ and ${C_v}$ of the gas are respectively
  • A
    Monoatomic, $\frac{5}{2}R,\;\frac{3}{2}R$
  • B
    Monoatomic, $\frac{7}{2}R,\;\frac{5}{2}R$
  • ✓
    Diatomic, $\frac{7}{2}R,\;\frac{5}{2}R$
  • D
    Triatomic, $\frac{7}{2}R,\;\frac{5}{2}R$
✓

Answer

Correct option: C.
Diatomic, $\frac{7}{2}R,\;\frac{5}{2}R$
c
$\gamma  = 1 + \frac{2}{f} \Rightarrow 1.4 = 1 + \frac{2}{f}$

$\Rightarrow$  degree of freedom $f = 5$

${C_P} = \frac{7}{2}R$ and ${C_V} = \frac{5}{2}R$

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