Oxygen and cyclopropane at partial pressures orf 570 torr and 170 torr respectively are mixed in a gas cylinder. What is the ratio of the number of moles of cyclopropane to the number of moles of oxygen?

Options

A. `(170xx42)/(570xx32)=0.39`
B. `(170)/(24)//(170/(42)+(570)/(32))~~0.19`
C. `(170)/(740)=0.23`
D. `(170)/(570)=0.30`

Answer

D

Explanation

According to ideal gas equation,
`p_(1)V=n_(1)RT" ….(i)"`
`p_(2)V=n_(2)RT" …(ii)"`
From Eqs. (i) and (ii)
`(p_(1)V)/(p_(2)V)=(n_(1)RT)/(n_(2)RT)rArr(p_(1))/(p_(2))=(n_(1))/(n_(2))`
`(n_(1))/(n_(2))=(p_(1))/(p_(2))=(170)/(570)=0.30`