First slide

laws

Question

A Vessel is filled with a gas at one atmospheric pressure .At the same temperature, the mass of that gas is increased by 25% the pressure of gas in the vessel is

Easy

A

0.5 atm
B

0.75 atm
C

1 atm
D

1.25 atm

Solution

T= Constant; V= Constant; P;= 1atm; m₁ =m and m₂=m+ $\frac{1}{4} m$
We Know that
PV = $μRT$
$\frac{P_{1}}{P_{2}} = \frac{m_{1}}{m_{2}} \Rightarrow \frac{1}{P_{2}} = \frac{m}{m + \frac{1}{4} m} \frac{1}{P_{2}} = \frac{4}{5} \Rightarrow p_{2} = \frac{5}{4} = 1.25 atm \Rightarrow P_{2} = 1.25 atm$

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