MCQ
If two moles of diatomic gas and one mole of mono atomic gas are mixed then the ratio of specific heats is
- A$\frac{7}{3}$
- B$\frac{5}{4}$
- ✓$\frac{{19}}{{13}}$
- D$\frac{{15}}{{19}}$
✓
Answer
Correct option: C.
$\frac{{19}}{{13}}$
c
$C _{ peq }=\frac{ n _{1} C _{ p 1}+ n _{2} C _{ p _{2}}}{ n _{1}+ n _{2}} C _{ veq}$
$C _{ peq }=\frac{ n _{1} C _{ p 1}+ n _{2} C _{ p _{2}}}{ n _{1}+ n _{2}} C _{ veq}$
$=\frac{ n _{1} C _{ v _{1}}+ n _{2} C _{ v _{2}}}{ n _{1}+ n _{2}}$
$r _{ eq }=\frac{ C _{ P _{ eq }}}{ C _{ Veq }}=\frac{2 \times \frac{7}{2}+1 \times \frac{5}{2}}{2 \times \frac{5}{2}+1 \times \frac{3}{2}}$
$=\frac{19}{13}$
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