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11. thermodynamics — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics11. thermodynamics1 Mark
MCQ
One mole of an ideal gas $(\gamma  = 1.4)$ is adiabatically compressed so that its temperature rises from $27\,^oC$ to $35\,^oC$. The change in the internal energy of the gas is  .... $J$ (given $R = 8.3 \,J/mole/K$)
  • A
    $-166$
  • ✓
    $166$
  • C
    $-168$
  • D
    $168$
✓

Answer

Correct option: B.
$166$
b
$\Delta \mathrm{U}=-\mathrm{W}=\frac{\mathrm{nR}\left(\mathrm{T}_{1}-\mathrm{T}_{2}\right)}{1-\mathrm{r}}=\frac{1 \times 8.3(-8)}{1-1.4}=166 \mathrm{J}$

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