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The mass foa non-volatile, non-electroly...

The mass foa non-volatile, non-electrolyte solute `("molar mass" = 50 g "mol"^(-1))` needed to be dissolved in 114 g octane to reduce its vapour pressure to 75%, is :

A

50 g

B

16.66 g

C

75 g

D

150 g

Text Solution

Verified by Experts

Molar mass of solute `= 50 g "mol"^(-1)`
Molar mass of octane `=114 g "mol"^(-1)`
Relative lowering in vapour pressure in given as, `(p^(@)-p_(s))/(p_(s))=(n_(2))/(n_(1))`
`n_(2)=w/50` (where w is the mass of salute): `n_(1)=114/114=1`
`(p^(@)-0.75p^(@))/(0.75p^(@))=2/(50/1)implies (0.25p^(@))/(0.75p^(@))=2/50impliesw=(50xx25)/75=16.66g`
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