Calculate average molar heat capacity at constant volume of gaseous mixture contained 2 mole of each of two ideal gases `A(C_(v,m)=(3)/(2)R)` and `B(C_(v,m)=(5)/(2)R) :`

Options

A. R
B. 2R
C. 3R
D. 8R

Answer

B

Explanation

Average `C_(v,m)=(n_(1)C_(v,m_(1))+n_(2)C_(v,m_(2)))/(n_(1)+n_(2))`
`=(2xx(3)/(2)R+2xx(5)/(2)R)/(2+2)=2R`