A diatomic gas initially at $18^o C$ is compressed adiabatically to one-eighth of its original volume. The temperature after compression will be
AIPMT 1996, Medium
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$T{V^{\gamma - 1}} = $ constant
$ \Rightarrow {T_2} = {T_1}{\left( {\frac{{{V_1}}}{{{V_2}}}} \right)^{\gamma - 1}} $$= (273 + 18)\;{\left( {\frac{V}{{V/8}}} \right)^{0.4}} = 668\;K$
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