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# A closed vessel contains 8 g of oxygen and 7 g of nitrogen . The total pressure is 10 atm at a given temperature . If now oxygen is absorbed by introducing a suitable absorbent , the pressure of the remaining gas is atm will be

$(a)\;2\qquad(b)\;0.98\qquad(c)\;4\qquad(d)\;5$

Explanation :
By Dalton's law of partial pressures
$p = (n_{1}+n_{2}) \large\frac{RT}{V}$
$p_{1}=\large\frac{n_{1}RT}{V}$
$p_{2}=\large\frac{n_{2}RT}{V}$
$n_{1} = n_{2} =\large\frac{1}{4}$
$p_{1}=p_{2}$
$p_{1}+p_{2} =10$
$p_{1} = 5\;atm$