Question

O₂ and H₂ are at a temperature of 27°C in two separate vessels of capacity 1 litre and 2 litres at pressures of 5 atm and 4 atm respectively. If the two gases are mixed together in a 5 litre vessel at 327°C determine the partial pressure of O₂ in the mixture.

Answer 1

Pressure of oxygen should be considered at temperature and volume of the mixture and this pressure will be the partial pressure (say p atm) of O₂. Thus

P₁ = p atm

V₁ = 5 litres 

T₁ = 600K

P₂ = 5atm

V₂ = 1 litre

T₂ = 300K

\(\frac{p \times 5}{600} = \frac{5\times 1}{300}\)

\(p = \frac{5\times 600}{5 \times 300}\)

\(= 2 \ atm\)