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Thermodynamics — JEE physics STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 ScienceJEE physicsThermodynamics1 Mark
MCQ
For adiabatic processes $\left(\gamma=\frac{C_p}{C_v}\right)$
  • A
    $P^\gamma V=$ constant
  • B
    $T^\gamma V=$ constant
  • ✓
    $T V^{\gamma-1}=$ constant
  • D
    $T V^\gamma=$ constant
✓

Answer

Correct option: C.
$T V^{\gamma-1}=$ constant
In adiabatic process $P V^\gamma=$ constant
$\Rightarrow\left(\frac{R T}{V}\right)\cdot V^\gamma=\mathrm{constant}$
$\Rightarrow T V^{\gamma-1}=\mathrm{constant}$

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