A monatomic gas at pressure \( P_{1} \) and volume \( V_{1} \) is c...

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A monatomic gas at pressure \( P_{1} \) and volume \( V_{1} \) is compressed adiabatically to \( \frac{1}{8} \) th of its original
\( \mathrm{P} \) volume. What is the final pressure of the gas?

W
(a) \( 64 P_{1} \)
(b) \( P_{1} \)
(c) \( 16 P_{1} \)
(d) \( 32 P_{1} \)
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