A diatomic ideal gas undergoes a thermodynamic change according t… - Vidyadip

MCQ

A diatomic ideal gas undergoes a thermodynamic change according to the $P-V$ diagram shown in the figure. The heat given the gas in $AB$

✓
$2.5\,\, P_0\,V_0$
B
$1.4\,\, P_0\,V_0$
C
$3.9\,\, P_0\,V_0$
D
$1.1\,\, P_0\,V_0$

✓

Answer

Correct option: A.

$2.5\,\, P_0\,V_0$

a
$\mathrm{AB} \rightarrow \Delta \mathrm{Q}=\mu \mathrm{C}_{\mathrm{v}} \Delta \mathrm{T}$

$=\mu \frac{1}{2} \mathrm{R}\left(2 \mathrm{T}_{0}-\mathrm{T}_{0}\right)$

$=\frac{5}{2} \mathrm{P}_{0} \mathrm{V}_{0}$

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