Question

A monoatomic gas $( \gamma = 5 / 3 )$ is suddenly compressed to $\frac { 1 } { 8 }$ of its original volume adiabatically, then the pressure of the gas will change to

• A. $\frac { 24 } { 5 }$
• B. 8
• C. $\frac { 40 } { 3 }$
• D. 32 times its initial pressure

Answer 1

Answer: (D)

32 times its initial pressure

Answer 2

$P V ^ { \gamma }$=constant ⇒$\frac { P _ { 2 } } { P _ { 1 } } = \left( \frac { V _ { 1 } } { V _ { 2 } } \right) ^ { \gamma } \Rightarrow P _ { 2 } = ( 8 ) ^ { 5 / 3 } P _ { 1 } = 32 P _ { 1 }$