Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
When equal volumes of helium and neon at same temperature and pressure are mixed, the ratio $C_p: C_V$ of the mixture equals
ChemistryThermodynamics (C)AP EAMCETAP EAMCET 2021 (24 Aug Shift 1)
Options:
  • A $3: 5$
  • B $1: 2$
  • C $5: 3$
  • D $2: 1$
Solution:
1378 Upvotes Verified Answer
The correct answer is: $5: 3$
Equal volume of $\mathrm{He}$ and $\mathrm{Ne}$ are mixed which are monoatomic gases.
$C_p$ is molar specific heat capacity at constant pressure.
$C_V$ is molar specific heat capacity at constant volume.
Degree of freedom $(f)$ for monoatomic gas $=3$
$$
\begin{aligned}
& \frac{C_p}{C_V}=1+\frac{2}{f}=1+\frac{2}{3}=\frac{5}{3} \\
& \frac{C_p}{C_V}=\frac{5}{3}
\end{aligned}
$$

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.