The volume of a gas is reduced adiabatically to $\frac{1}{4}$ of its volume at $27°C$, if the value of $\gamma = 1.4,$ then the new temperature will be
A$350 \times {4^{0.4}}K$
B$300 \times {4^{0.4}}K$
C$150 \times {4^{0.4}}K$
D
None of these
Medium
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B$300 \times {4^{0.4}}K$
b (b) For adiabatic change $T{V^{\gamma - 1}}$= constant
==> $\frac{{{T_2}}}{{{T_1}}} = {\left( {\frac{{{V_1}}}{{{V_2}}}} \right)^{\gamma - 1}}$
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