Question

One litre of oxygen at a pressure of $1$ atm and two litres of nitrogen at a pressure of $0.5$ atm are introduced in the vessel of $1$ litre capacity, without any change in temperature. The total pressure would be :

• A. $1.5$ atm
• B. $0.5$ atm
• C. $2.0$ atm
• D. $1.0$ atm

Answer 1

The correct option is C $2.0$ atm

$P_T{V}_T=P_O{V}_O+P_N{V}_N$

$P_O,V_O$ are initial oxygen pressure and initial oxygen volume respectively.

$P_N,V_N$ are initial nitrogen pressure and initial nitrogen volume respectively.

$P_T,V_T$ are total pressure and total volume of the mixture respectively.
$P_T\times \text{1 L}=\text{1 atm}\times \text{1 L}+\text{0.5 atm}\times \text{2 L}$

$P_T=\text{2 atm}$

Option (C) is correct.