Question

A vessel is filled with a gas at a pressure of $76\text{cm}$ of mercury at a certain temperature. The mass of the gas is increased by $50\%$ by introducing more gas in the vessel at the same temperature. The resultant pressure, in cm of $Hg$, is -

• A. $76$
• B. $152$
• C. $114$
• D. $1117$

Answer 1

The correct option is C $114$

$PV=nRT$
$PV=\frac{m}{M}RT$
As volume of container is not changing,
$P\propto m$
Since $m$ is increased by a factor of $\frac{3}{2}$ ,
therefore, $P$ will also increase by a factor of $\frac{3}{2}$ .
$\therefore$ New pressure $=\frac{3}{2}\times 76\text{cm of}Hg=114\text{cm of}Hg$