One mole of an ideal gas undergoes a process whose molar heat capacity is 4R and in which work done by gas for small change in temperature is given by the relation `dW=2RdT`, then find the degree of freedom of gas

Options

A. 3
B. 4
C. 5
D. 6

Answer

B

Explanation

For small change `dQ=dU+dW, nCdT=nC_(v)`
dT+2nRdT
`therefore C=C_(v)+2R,4R=C_(v)+2R thereforeC_(v)=2R`,
`C_(v)=(fR).(2)` hence `f=4`