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Density

A diatomic id...

Question

A diatomic ideal gas is compressed adiabatically to $1 / 32$ of its initial volume. If the initial temperature of the gas is $T_{i}$ (in Kelvin) and the final temperature is $a T_{i}$ , the value of $a$ is

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Solution

$T V^{λ - 1} = c o n s t a n t$
$T V^{7 / 5 - 1} = a T {(\frac{V}{32})}^{7 / 5 - 1} \Rightarrow a = 4$ .

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