First slide

Different type of processes

Question

Diatomic gas at pressure ‘P’ and volume ‘V’ is compressed adiabatically to 1/32 times the orginal volume. Then the final pressure is

Easy

A

P/32
B

32 P
C

128 P
D

P/128

Solution

${P_1}v_1^\gamma = {P_2}v_2^\gamma\Rightarrow {P_2} = P{\left( {\frac{{{v_1}}}{{{v_2}}}} \right)^\gamma }\Rightarrow {P_2} = P{\left( {32} \right)^{7/5}}$
$= p{({2^5})^{7/5}} = 128P$

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