A vessel is filled with a gas at a pressure of 76 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. Find the resultant pressure of the gas.

A vessel is filled with a gas at a pressure of 76 cm of mercury at a c

1.	A vessel is filled with a gas at a pressure of 76 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. Find the resultant pressure of the gas.
Answer» SOLUTION :According to kinetic theory of gases, `PV=(1)/(3)mv_(rms)^(2)` At constant temperature, `v_(rms)^(2)` is constant. As `v`is ALSO constant, so `P PROP m`. When the mass of the gas increase by `50%` pressurealso increases by `50%`, `:.` Final pressure `=76+(50)/(100)xx76=114cm` of `Hg`.