dentify the thermodynamic process. $($cont$.)$

To solve part $($a$),$ because no thermal energy transfers into or out of the gas, the process is adiabatic and

PV$=$ constant,

where

$=$

CpCv

is the adiabatic index of the gas. For an ideal diatomic gas,

Cp $=$

$72$

R

and

Cv $=$

$52$

R

so that

$=$

$72$

R

$52$

R

$=$

$75$

$.$

The gas pressures and volumes in the initial and final states are related by the equation

PiVi$=$ PfVf$.$

What is the final pressure

Pf

of the gas?

Incorrect. Check your algebra and the value for

$$

in solving the equation above for the final pressure of the gas. Pa