A vessel is filled with a mixture of equal masses of oxygen and nitrogen. What is the ratio of partial pressure of oxygen and nitrogen ?

Options

A. `p_(0_(2))=0.5p_(N_(2))`
B. `p_(0_(2))=0.875p_(N_(2))`
C. `p_(0_(2))=p_(N_(2))`
D. `p_(0_(2))=1.14p_(N_(2))`

Explanation

(b) Let 32 g of each gas is taken. Then,
Total moles=`(32)/(32)+(32)/(28)=(15)/(7)`
Mole fraction of `O_(2)`=`(1)/(15//7)=(7)/(15)`
Mole fraction of `N_(2)`=`(8//7)/(15//7)=(8)/(15)`
`therefore` `(p_(O_(2)))/(p_(N_(2)))=((7)/(15)xx1)/((8)/(15)xx1)=(7)/(15)xx(15)/(8)=(7)/(8)=0.875`
`p_(O_(2))=0.875p_(N_(2))`