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A monoatomic gas at pressure `P_(1)` and volume `V_(1)` is compressed adiabatically to `1/8th` of its original volume. What is the final pressure of g

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A monoatomic gas at pressure `P_(1)` and volume `V_(1)` is compressed adiabatically to `1/8th` of its original volume. What is the final pressure of gas.
A. `P_(1) `
B. `16P_(1)`
C. `32P_(1)`
D. `64P_(1)`
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Correct Answer - C
`rArr P_(2) = P_(1) ((V_(1))/(V_(2)))^(gamma) = P ((V)/(V//8))^(5//3) = 23P_(1)`
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