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Rate of diffusion of LPG (a mixture of n...

Rate of diffusion of LPG (a mixture of n-butane and propane) is 1.25 times that of `SO_(3)` Hence, mole fraction of n-butane in LPG is

A

`0.752`

B

`0.256`

C

`0.514`

D

`0.667`

Text Solution

Verified by Experts

The correct Answer is:
C

Since, `(r_(SO_3))/(r_("mix"))= sqrt((M_("mix"))/(M_("mix"))) implies(1)/(1.25)=sqrt((M_("mix"))/(80)) implies M_("mix")= 51.2`
Since, `M_("mix")= x_("butane")M_("butane")+x_("propane")M_("propane")`, Therefore, `51.2= 58x_("butane")+44(1-x_("butane"))`
`implies 7.2 = 14x_("butane") implies x_("butane")= 0.514`.
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