Question

A gas mixture contain $1g$ $H_2$ and $1g$ $H_e$ temperature of gas mixture is increased from $0^{\circ }$ to ${100}^{0}C$ at isobaric process. Then find given heat of gas mixture
$\left[{\gamma }_{He}=5/3,{\gamma }_{He}=7/5,R=2cal/mol-K\right]$

• A. $124cal$
• B. $327cal$
• C. $218cal$
• D. $475cal$

Answer 1

The correct option is D $475cal$

$\delta =\frac{Cp}{Cv}$
$\infty ,\delta -1=\frac{Cp-Cv}{Cv}=\frac{R}{C}$
$\infty CV=\frac{R}{\delta -1}=\frac{R}{\frac{67}{45}-1}$
$\infty Cv=\frac{45R}{22}$
$Cp=Cv+R=\frac{67}{22}R$
$\Delta T=100K$
$H=nCp\Delta T$
$0.75\times \frac{67}{22}\times 2\times 100$
$=475cal$