The relation between pressure and temperature of a monoatomic gas in an adiabatic process is P prop T^(-C), where C = ____

The relation between pressure and temperature of a monoatomic gas in a

1.	The relation between pressure and temperature of a monoatomic gas in an adiabatic process is P prop T^(-C), where C = ____
Answer» <html><body><p>`2/5`<br/>`5/2`<br/>`3/5`<br/>`5/3`</p><a href="https://interviewquestions.tuteehub.com/tag/solution-25781" style="font-weight:bold;" target="_blank" title="Click to know more about SOLUTION">SOLUTION</a> :The relation between pressure and temperature in an adiabatic process, <br/> `P.T^(gamma/(1-gamma))` =constant <br/> `therefore P prop T^((1-gamma)/gamma)`, comparing it with `P prop T^(-<a href="https://interviewquestions.tuteehub.com/tag/c-7168" style="font-weight:bold;" target="_blank" title="Click to know more about C">C</a>)` <br/> `therefore -C=(1-gamma)/gamma` <br/> `therefore C=(gamma-1)/gamma` <br/> For <a href="https://interviewquestions.tuteehub.com/tag/monoatomic-2841458" style="font-weight:bold;" target="_blank" title="Click to know more about MONOATOMIC">MONOATOMIC</a> gas `gamma=5/3` <br/> `therefore C=(5/3-1)/(5/3)=(2/3)/(5/3)` <br/> `therefore C=2/5`</body></html>