- #1
sudipmaity
- 50
- 0
what is the change In internal energy of an ideal gas when it is expanded Adiabatically from (p °,v°) to ( p,v )?
The relevant equations :
dQ= dU+ pdv ; pV^ r = K (constant). r = Cp / Cv.
Attempted solution :
During adiabatic process dQ=0 ; p= k v ^ -r
Th f r : du= -k v^ -rdv
Integrating the above relation : Uf-U i = -k [ ( v ^ -r + 1 ) / -r + 1 ] v to v° .
= -k [ {(v ^ 1-r ) / (1-r)} -{(v° ^ 1-r ) /( 1-r) } ]
= 1 / (1-r)[ (k v ^ -r) v-( k v° ^-r ) v° ] = 1/ (1-r) [ pv-p° v° ] .
IS there any mistake ? Am i absolutely right ?? .
The relevant equations :
dQ= dU+ pdv ; pV^ r = K (constant). r = Cp / Cv.
Attempted solution :
During adiabatic process dQ=0 ; p= k v ^ -r
Th f r : du= -k v^ -rdv
Integrating the above relation : Uf-U i = -k [ ( v ^ -r + 1 ) / -r + 1 ] v to v° .
= -k [ {(v ^ 1-r ) / (1-r)} -{(v° ^ 1-r ) /( 1-r) } ]
= 1 / (1-r)[ (k v ^ -r) v-( k v° ^-r ) v° ] = 1/ (1-r) [ pv-p° v° ] .
IS there any mistake ? Am i absolutely right ?? .