Question

A gas is filled in a container at any temperature and at pressure 76 cm of Hg. If at the same temperature the mass of gas is increased by 50% then the resultant pressure will be

• A. 38 cm of Hg
• B. 76 cm of Hg
• C. 114 cm of Hg
• D. 152 cm of Hg

Answer 1

The correct option is C 114 cm of Hg

$PV=nRT$

$PV=\frac{m}{M}RT$

$P=\frac{m}{M}\frac{RT}{V}$ also given that P=76cm of Hg

Given that mass of the gas is increased by 50%

Now $P_1=\left(\frac{m+\frac{m}{2}}{M}\right)\frac{RT}{V}$

$=\frac{3}{2}\frac{m}{M}\frac{RT}{V}$

$=\frac{3}{2}P$

=$\frac{3}{2}\times 76$

=$114cmofHg$