The temperature of a hypothetical gas increases to \( \sqrt{2} \) t...

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The temperature of a hypothetical gas increases to \( \sqrt{2} \) times when compressed adiabatically to half the volume. Its
\( \mathrm{P} \) equation can be written as

W
(a) \( P V^{3 / 2}= \) constant
(b) \( P V^{5 / 2}= \) constant
(c) \( P V^{7 / 3}= \) constant
(d) \( P V^{4 / 3}= \) constant
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