Question

The volume of vessel A is twice the volume of another vessel B, and both of them are filed 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

Answer: (B)

$\frac{2}{1}$

Answer 2

PV = Nrt

$\therefore n_{B} = \frac{PV}{RT}andn_{A} = \frac{2P \times 2V}{R \times 2T}$

or $n_{A} = \frac{2PV}{RT}$

$\therefore\frac{n_{A}}{n_{B}} = \frac{2}{1}$