1 mole of an ideal gas A (C_(v,m)=3R) and 2 mole of an ideal gas B are (C_(v.m)= (3)/(2)R) taken in a constainer and expanded reversible and adiabatically from 1 litre of 4 litre starting from initial temperature of 320K. DeltaE or DeltaU for the process is (in Cal) (Give your answer after divide with 240)

1 mole of an ideal gas A (C_(v,m)=3R) and 2 mole of an ideal gas B are

1.	1 mole of an ideal gas A (C_(v,m)=3R) and 2 mole of an ideal gas B are (C_(v.m)= (3)/(2)R) taken in a constainer and expanded reversible and adiabatically from 1 litre of 4 litre starting from initial temperature of 320K. DeltaE or DeltaU for the process is (in Cal) (Give your answer after divide with 240)
Answer» <html><body><p>`-240R`<br/>240R<br/>`-<a href="https://interviewquestions.tuteehub.com/tag/1920-1800891" style="font-weight:bold;" target="_blank" title="Click to know more about 1920">1920</a>` Cal<br/>`-960R`</p>Solution :`C_(V_("avg")) = (<a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a> xx 3R + 2 xx (3)/(2) <a href="https://interviewquestions.tuteehub.com/tag/r-611811" style="font-weight:bold;" target="_blank" title="Click to know more about R">R</a>)/(1 +2) = 2R rArr gamma = 3//2` <br/> `T_(1) V_(1)^(gamma-1) = T_(2) V_(2)^(gamma-1)` <br/> `320 xx (1)^(1//2) = T_(2) (4)^(1//2) rArr T_(2) = (320)/(2) = 160K` <br/> `Delta U= nC_(v) Delta T= 3 xx 2R xx (160-320)` <br/> `= -<a href="https://interviewquestions.tuteehub.com/tag/960-342633" style="font-weight:bold;" target="_blank" title="Click to know more about 960">960</a> R = - 1920` cal</body></html>