A monatomic gas at pressure p₁ and V₁ is compressed adiabatically to 1/8 th its original volume. What is the final pressure of the gas?

64 p₁

p₁

16 p₁

32 p₁

Solution

32 p₁

straight p subscript 1 straight V subscript 1 superscript 5 divided by 3 end superscript space equals straight p apostrophe space open parentheses straight V subscript 1 over 8 close parentheses to the power of 5 divided by 3 end exponent space equals space straight p subscript 1 space straight x space 2 to the power of 5 straight p apostrophe space equals space 32 straight p subscript 1

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