One mole of a gas mixture is heated under constant pressure, and heat supplied $Q$ is plotted against temperature difference acquired. Find the approximate value of $\gamma $ for mixture
A$1.33$
B$1.5$
C$1.4$
D$1.67$
Diffcult
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B$1.5$
b $Q=\Delta U+W=n \frac{f}{2} R \Delta T+n R \Delta T$
$Q=\left(1+\frac{f}{2}\right) R n \Delta T \Rightarrow \frac{2500}{100}=\left(\frac{1+f}{2}\right) R \Rightarrow f=4$
$\gamma=1+\frac{2}{f}=\frac{3}{2}$
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