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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 in atm will be

a
2
b
10
c
4
d
5

detailed solution

Correct option is D

From Dalton's law, final picture of the mixture of nitrogen and oxygen is μ1RTV+μ2RTV=m1M1RTV+m2M2RTV,=832RTV+728RTV=RT2V⇒10=RT2V, When oxygen is absorbed then for nitrogen let pressure is P=728RTV⇒P=RT4VFrom Eqs. (i) and (ii). we get pressure of the nitrogen P = 5 atm

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