Ideal Diatomic Gas - Final temp and pressure

[Cyclonextreme]

Homework Statement

A 1.00 mol sample of an ideal diatomic gas, originally at 1 atm and 20°C, expands adiabatically to 2.0 times its initial volume. (Assume no molecular vibration.)

What is the final pressure for the gas?What is the final temperature for the gas?
(it should be near -40 Celcius)

I can't find anything relatable besides PV=nRT and something with 5/3?

Any help on where to start would be greatly appreciated! Thank you!

 

[Chestermiller]

Homework Statement

A 1.00 mol sample of an ideal diatomic gas, originally at 1 atm and 20°C, expands adiabatically to 2.0 times its initial volume. (Assume no molecular vibration.)

What is the final pressure for the gas?


What is the final temperature for the gas?
(it should be near 40 Celcius)

I can't find anything relatable besides PV=nRT and something with 5/3?

Hi cyclonextreme. Welcome to Physics Forums.
Do you know the equations for adiabatic reversible expansion? If not, look them up in your textbook. Study the section on reversible adiabatic expansion.

 

[Cyclonextreme]

Hi cyclonextreme. Welcome to Physics Forums.
Do you know the equations for adiabatic reversible expansion? If not, look them up in your textbook. Study the section on reversible adiabatic expansion.

Thank you!