Question

A gas at certain volume and temperature has a pressure equal to $75\text{cm}$ of mercury column. If the mass of the gas is doubled, at the same volume and temperature, its new pressure is

• A. $37.5\text{cm}$
• B. $75\text{cm}$
• C. $150\text{cm}$
• D. $300\text{cm}$

Answer 1

The correct option is C $150\text{cm}$

From ideal gas equation,
$PV=nRT$
$P=\frac{m}{M}\left[\frac{RT}{V}\right]$
For same volume and temperature
$P\propto m$
$\frac{P_2}{P_1}=\frac{m_2}{m_1}=\frac{2m}{m}$
$P_2=2P_1=150\text{cm}ofHg$