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. 50
C. 70
D. 90

Answer

B

Explanation

`Q_(1)=nC_(p)DeltaT`
`Q_(2)=nC_(v)DeltaT`
`(Q_(2))/(Q_(1))=(C_(v))/(C_(p))=(1)/(gamma)`
`Q_(2)=(Q_(1))/(gamma)=(70)/(1.4)=50cal`