Two moles of oxygen is mixed with eight moles of helium. The effective specific heat of the mixture at constant volume is

Question

Two moles of oxygen is mixed with eight moles of helium. The effective specific heat of the mixture at constant volume is (A) 1.3 R (B) 1.4 R (C) 1.7 R (D) 1.9 R

Tardigrade Admin · Accepted Answer

Molar specific heat of mixture at constant volume is (CV)mixture = (n1CV1+n2CV2/n1+n2) = (2×(5R/2)+8×(3R/2)/2+8)=1.7 R

Q. Two moles of oxygen is mixed with eight moles of helium. The effective specific heat of the mixture at constant volume is

$1.3 R$

$1.4 R$

$1.7 R$

$1.9 R$

Molar specific heat of mixture at constant volume is
$(C_{V})_{mi x t u re} = \frac{n _{1} C _{V_{1}} + n _{2} C _{V_{2}}}{n _{1} + n _{2}}$
$= \frac{2 \times \frac{5 R}{2} + 8 \times \frac{3 R}{2}}{2 + 8} = 1.7 R$

Q. Two moles of oxygen is mixed with eight moles of helium. The effective specific heat of the mixture at constant volume is

1.3R

1.4R

1.7R

1.9R

Molar specific heat of mixture at constant volume is (CV​)mixture​=n1​+n2​n1​CV1​​+n2​CV2​​​ =2+82×25R​+8×23R​​=1.7R

$1.3 R$

$1.4 R$

$1.7 R$

$1.9 R$

Molar specific heat of mixture at constant volume is
$(C_{V})_{mi x t u re} = \frac{n _{1} C _{V_{1}} + n _{2} C _{V_{2}}}{n _{1} + n _{2}}$
$= \frac{2 \times \frac{5 R}{2} + 8 \times \frac{3 R}{2}}{2 + 8} = 1.7 R$