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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
One mole of monoatomic gas and three moles of diatomic gas are put together in a container. The molar specific heat (in $J\,{K^{ - 1}}\,mo{l^{ - 1}})$ at constant volume is $(R = 8.3\,J\,{K^{ - 1}}\,mo{l^{ - 1}})$
  • ✓
    $18.7$
  • B
    $18.9$
  • C
    $19.2$
  • D
    None of the above
✓

Answer

Correct option: A.
$18.7$
a
${C_{{V_{mix}}}} = \frac{{{\mu _1}{C_{{V_1}}} + {\mu _2}{C_{{V_2}}}}}{{{\mu _1} + {\mu _2}}} = \frac{{1 \times \frac{3}{2}R + 3 \times \frac{5}{2}R}}{{1 + 3}}$

$ = \frac{3}{4}R = \frac{3}{4} \times 8.3 = 18.7$

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