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11. thermodynamics — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics11. thermodynamics1 Mark
MCQ
The work of $146\ kJ$ is performed in order to compress one kilo mole of gas adiabatically and in this process the temperature of the gas increases by $7^o  C$. The gas is $(R=8.3\ J\ mol^{-1} K^{-1})$
  • A
    monoatomic
  • ✓
    diatomic
  • C
    triatomic
  • D
    a mixture of monoatomic and diatomic
✓

Answer

Correct option: B.
diatomic
b
$W = \frac{{nR\Delta T}}{{1 - \gamma }} \Rightarrow  - 146000 = \frac{{1000 \times 8.3 \times 7}}{{1 - \gamma }}$

$or\,1 - \gamma  =  - \frac{{58.1}}{{146}} \Rightarrow \gamma  = 1 + \frac{{58.1}}{{146}} = 1.4$

Hence the gas is diatomic.

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