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Question: One mole of an ideal monoatomic gas is mixed with one mole of an ideal diatomic gas. The molar speci...

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

A

R

B

32\frac{3}{2}R

C

2 R

D

2.5 R

Answer

2 R

Explanation

Solution

Q (CV)mix = n1CV1+n2CV2n1+n2\frac{n_{1}C_{V_{1}} + n_{2}C_{V_{2}}}{n_{1} + n_{2}}

For monoatomic CV1C_{V_{1}} = 32R\frac{3}{2}R

For diatomic CV2C_{V_{2}} = 52R\frac{5}{2}R

(CV)mix = 1×32R+1×52R1+1\frac{1 \times \frac{3}{2}R + 1 \times \frac{5}{2}R}{1 + 1} = 2R