Question

One mole of an ideal monoatomic gas requires 207 J heat to raise the temperature by 10 K when heated at constant pressure. If the same gas is heated at constant volume to raise the temperature by the same 10 K, the heat required is [Given the gas constant R = 8.3 J/ mol. K]
A. 96.6 J
B. 124 J
C. 198.8 J
D. 215.4 J

Answer 1

Correct Answer - B
`dQ_(p)=nC_(p)dT" "therefore C_(p)=(dQ_(p))/(ndT)`
`C_(p)=(207)/(1xx10)=20.7`
`C_(V)=C_(p)-R=20.7-8.3=12.4`
`(dQ_(V))/(dQ_(p))=(C_(V))/(C_(p))xxdQ_(p)=(12.4xx20.7)/(20.7)`
`dQ_(V)=124J`