70 calories of heat required to raise the temperature of 2 moles of an ideal gas at constant pressure from `30^@Cto 35^@C.` The amount of heat required (in calories) to raise the temperature of the same gas through the same range `(30^@C to 35^@C)` at constant volume is:

Options

A. 30
B. 60
C. 50
D. 70

Explanation

`C_(P)/C_(V)=gamma=1.4`
`((DeltaQ)_(P))/((DeltaQ)_(V))=(nC_(p)DeltaT)/(nC_(V)DeltaT)=C_P/C_(V)=1.4`
`therefore` `(DeltaQ_(V))=(DeltaQ)_(P) /(1.4)=50ca`