Question

An amount Q of heat is added to a mono atomic ideal gas in a process in which the gas performs a work Q/2 on its surrounding .find equation of the process?

Answer 1

`TV^{1/3} = \mbox{ constant}`

Explanation:

For an infinitesimal process
`dU = 3/2 nRdT = delta Q-pdV = delta Q-{deltaQ}/2 = {delta Q}/2=1/2pdV`

Using `pV = nRT`, this can be rewritten as

`3/2 nR dT = 1/2 {nRT}/V dV implies {dT}/T = 1/3 {dV}/V implies`

`TV^{1/3} = \mbox{ constant}`