Question

We have ajar filled with a gas characterised by parameter $p.V$ and $T$ and another jar $B$ with a gas with parameter $2p,\frac{V}{4}$ and $2T$ (where the symbols have their usual meaning). The ratio of number of molecules of jar $A$ to those of jar $B$ is

• A. $1:1$
• B. $1:2$
• C. $2:1$
• D. $4:1$

Answer 1

The correct option is D $4:1$

According to the gas equation $pV=nkT$
For the gas in jar $A$, $pV=n_{A}KT$
For the gas in jar $B$; $\left(2p\right)\left(\frac{V}{4}\right)=n_{B}K\left(2T\right)$
$\therefore \frac{n_A}{n_B}=\frac{4}{1}$