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11.Thermodynamics
medium
A mixture of gases at $STP$ for which $\gamma=1.5$ is suddenly compressed to $\frac{1}{9}$ th of its original volume. The final temperature of mixture is .......... $^{\circ} C$
A
$300$
B
$546$
C
$420$
D
$872$
Solution
(b)
$T V^{1-1}=\text { constant }$
$T_1 V_1^{\gamma-1}=T_2 V_2^{\gamma-1}$
$T_2=T_1\left(\frac{V_1}{V_2}\right)^{\gamma-1}$
$T_2=(273 \,K )\left[\frac{V_1}{V / 9}\right]^{1.5-1}$
$T_2=(273 \,K ) \times 3$
$=819 \,K$
$=546^{\circ} C$
Standard 11
Physics
