Question 752: Thermodynamics & KTG

Question

Two vessels separately contain two ideal gases A and B at the same temperature, pressure of A being twice that of B . Under such conditions, the density of A is found to be 1.5 times the density of $B$. The ratio of molecular weights of $A$ and $B$ is

Accepted Answer

For an ideal gas, $\mathrm{PV}=\mathrm{RT}$ and $\mathrm{M}=ho \mathrm{V}$
$$\begin{array}{ll}
	herefore & \frac{P M}{ho}=R T \
	herefore & \frac{P_A M_A}{ho_A}=\frac{P_B M_B}{ho_B} \
& \frac{M_A}{M_B}=\frac{ho_A}{ho_B} 	imes \frac{P_B}{P_A}=\frac{3}{2} 	imes \frac{1}{2}=\frac{3}{4}
\end{array}$$

Answer

$1: 2$

Answer

$2: 3$

Answer

$3: 4$

Answer

$2: 1$

Thermodynamics & KTG

Two vessels separately contain two ideal gases A and B at the same temperature, pressure of A being twice that of B . Under such conditions, the density of A is found to be 1.5 times the density of B. The ratio of molecular weights of A and B is

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