A closed vessel contains 8,gm of oxygen and 7,gm of nitrogen. total pressure is 10,atm at given temp

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12.Kinetic Theory of Gases

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A closed vessel contains $8\,gm$ of oxygen and $7\,gm$ of nitrogen. The total pressure is $10\,atm$ at the given temperature. If all the oxygen is removed from the system without permitting any change in temperature, then the pressure will become (in atmosphere)

A

$70/15$

B

$80/15$

C

$5$

D

$70/8$

Solution

According to the question,

Dalton's law of partial pressures that

$p =\left( n _1+ n _2\right) \frac{ RT }{ V }$

$p _1=\frac{ n _1 \cdot RT }{ V }$

$p _2=\frac{ n _1 \cdot RT }{ V }$

$n _1= n _2=\frac{1}{4}$

$p _1= p _2$

$p _1= p _2=10$

$p _1=5\,atm$

Standard 11

Physics

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