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?

1 Answer
Mar 2, 2018

#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}#