MCQ
If during an adiabatic process the pressure of mixture of gases is found to be proportional to square of its absolute temperature. The ratio of $C_p / C_v$ for mixture of gases is .........
- ✓$2$
- B$1.5$
- C$1.67$
- D$2.1$
$P \propto T^2$
$P T^{-2}=$ constant $\quad$ compare with $P T^{\left(\frac{\gamma}{1-\gamma}\right)}=$ constant
$\frac{C_P}{C_V}=\gamma=2$
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$T ( t )= T _0\left(1+\beta t ^{1 / 4}\right)$
where $\beta$ is a constant with appropriate dimension while $T _0$ is a constant with dimension of temperature.
The heat capacity of the metal is :
$A.$ The $r.m.s$. velocity of gas molecules in two vessels will be the same.
$B.$ The ratio of pressure in these vessels will be $1: 4$
$C.$ The ratio of pressure will be $1: 1$
$D.$ The $r.m.s.$ velocity of gas molecules in two vessels will be in the ratio of $1: 4$