First slide

Thermometry

Question

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

Moderate

A

2
B

10
C

4
D

5

Solution

From Dalton's law, final picture of the mixture of nitrogen and oxygen is $\frac{μ_{1} R T}{V} + \frac{μ_{2} R T}{V} = \frac{m_{1}}{M_{1}} \frac{R T}{V} + \frac{m_{2}}{M_{2}} \frac{R T}{V}$ ,
$= \frac{8}{32} \frac{R T}{V} + \frac{7}{28} \frac{R T}{V} = \frac{R T}{2 V}$ $\Rightarrow$ $10 = \frac{R T}{2 V}$ , When oxygen is absorbed then for nitrogen let pressure is $P = \frac{7}{28} \frac{R T}{V}$ $\Rightarrow$ $P = \frac{R T}{4 V}$
From Eqs. (i) and (ii). we get pressure of the nitrogen P = 5 atm

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