How to Calculate Translational Kinetic Energy of a Gas Using Ideal Gas Law

[KsonGV]

1.Find the total translational kinetic energy of 0.5 L of oxygen gas held at a temperature of 0°C and a pressure of 1.3 atm.


2.
R = 8.314

PV=nRT
PV=NkT

K=(.5*m*v^2)

Translational Kinetic Energy = T=(2/3)(1/k)[(.5)mv^2]


3.
The problem says to express the total translational kinetic energy of the oxygen gas by combining the expression for the translational kinetic energy and the ideal-gas law to obtain an expression for K in terms of the pressure and volume of the gas.
I tried subsitituting T= PV/nR to T=(2/3)(1/k)[(.5)mv^2] but I am not sure if I am on the right track.

 

[lilmul123]

You can use PV = nRT to find the mols of oxygen gas you have. Then, you can use the translational kinetic energy equation for gasses, K = (3/2)nRT, to find K.

 

[KsonGV]

Oh. So i need to find the moles using the ideal gas law then plug it into the K equation. I was over thinking the whole problem.