Answer
.177
Work Step by Step
We know that:
$\frac{T_2}{T_1} = { (\frac {V_1}{V_2})}^{ \gamma -1}$
We know that the temperature doubles, and that $\gamma$ is equal to 1.4. This gives:
$2= (\frac {V_1}{V_2})^{.4}$
This gives: .177
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