Question

The volume of vessel A is twice the volume of another vessel B, and both of them are filled with the same gas. If the gas in A is at twice the temperature and twice the pressure in comparison to the gas in B, then the ratio of the gas molecules in A to that of B is?

• A. $\frac{1}{2}$
• B. $\frac{2}{1}$
• C. $\frac{3}{2}$
• D. $\frac{2}{3}$

Answer 1

The correct option is B $\frac{2}{1}$

$PV=nRT$

$\therefore n_B=\frac{PV}{RT}$ and $n_A=\frac{2P\times 2V}{R\times 2T}$

or $n_A=\frac{2PV}{RT}$

$\therefore \frac{n_A}{n_B}=\frac{2}{1}$.