The temperature of 10 g nitrogen gas is increased from 20 oC and 120 oC
(i)   At constant volume and
(ii) at constant pressure. Find out the amount of heat supplied, increased in internal energy and external work done in both cases. For N2 Cv = 0.177 cal.g-1.oC-1 and Cp = 0.248 cal.g-1.oC-1

[ Answer : (i) 177 cal , 177 cal, 0 ;  (ii)  248 cal , 177 cal , 71 cal  ]


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Dear Student,
The problem is based on the concept that energy is conserved

i.e
Q=U+W
Q-Heat; U-Internal Energy; W-Work done;
Q=mCvdT or mCpdTW=PdV = nRdTgiven m=10gCv=0.177calg-1°CCp=0.248calg-1°Cn=10/28=0.357R=2cal°C-1mol-1dT=100at constant volume W=PdV=0=Q=U=10*0.177*100=177calat constant volumeU=mCpdT-nRdT=10*0.248*100-0.357*2*100=248-71.4=176.6

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