Two moles of helium gas is mixed with three moles of hydrogen molecules (taken to be rigid). What is the molar specific heat (in J/mol K) of mixture at constant volume? (R=8.3 J/mol K)

Question

Two moles of helium gas is mixed with three moles of hydrogen molecules (taken to be rigid). What is the molar specific heat (in J/mol K) of mixture at constant volume? (R=8.3 J/mol K) (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

[Cv]min = (n1[Cv1]+n2[Cv2]/n1+n2) =[(2×(3R/2)+3×(5R/2)/2+3)] =2.1 R =2.1×8.3 =17.4 J /mol -K

Q. Two moles of helium gas is mixed with three moles of hydrogen molecules (taken to be rigid). What is the molar specific heat (in $J / m o l K)$ of mixture at constant volume? $(R = 8.3 J / m o l K)$

$[C_{v}]_{min} = \frac{n _{1} [ C _{v_{1}} ] + n _{2} [ C _{v_{2}} ]}{n _{1} + n _{2}}$
$= [\frac{2 \times \frac{3 R}{2} + 3 \times \frac{5 R}{2}}{2 + 3}]$
$= 2.1 R$
$= 2.1 \times 8.3$
$= 17.4 J / m o l - K$

Q. Two moles of helium gas is mixed with three moles of hydrogen molecules (taken to be rigid). What is the molar specific heat (in J/molK) of mixture at constant volume? (R=8.3J/molK)

[Cv​]min​=n1​+n2​n1​[Cv1​​]+n2​[Cv2​​]​ =[2+32×23R​+3×25R​​] =2.1R =2.1×8.3 =17.4J/mol−K

Q. Two moles of helium gas is mixed with three moles of hydrogen molecules (taken to be rigid). What is the molar specific heat (in $J / m o l K)$ of mixture at constant volume? $(R = 8.3 J / m o l K)$

$[C_{v}]_{min} = \frac{n _{1} [ C _{v_{1}} ] + n _{2} [ C _{v_{2}} ]}{n _{1} + n _{2}}$
$= [\frac{2 \times \frac{3 R}{2} + 3 \times \frac{5 R}{2}}{2 + 3}]$
$= 2.1 R$
$= 2.1 \times 8.3$
$= 17.4 J / m o l - K$