Question

One mole of a monoatomic ideal gas is mixed with one mole of a diatomic ideal gas. The molar specific heat of the mixture at constant volume is

• A. 8
• B. 635043695927768708_1459389.PNG
• C. 2R
• D. 2.5 R

Answer 1

The correct option is C 2R

$(C_v{)}_{mix}$ = $\frac{{\mu }_1{C}_{v1}+{\mu }_2{C}_{v2}}{{\mu }_1+{\mu }_2}$ = $\frac{1\times \frac{3}{2}R+1\times \frac{5}{2}R}{1+1}$ = 2R
($(C_v{)}_{mono}$ = $\frac{3}{2}R$,$(C_v{)}_{di}$ = $\frac{5}{2}$R)