JEE Main 12 Jan 2019 Evening Question 3

Question: 8 g of NaOH is dissolved in 18 g of $ H _2O. $ Mole fraction of $ NaOH $ in solution and molality (in $ mol,k{g^{-1}} $ ) of the solution respectively are

[JEE Main Online Paper Held On 12-Jan-2019 Evening]

Options:

A) 0.167, 22.20

B) 0.167, 11.11

C) 0.2, 22.20

D) 0.2, 11.11

Show Answer

Answer:

Correct Answer: B

Solution:

  • Mole of $ NaOH=\frac{8}{40}=0.2 $

    Mole of water $ =\frac{18}{18}=1 $

    Total moles $ =1+0.2=1.2 $

    Mole fraction of $ NaOH $ $ =\frac{Moles,of,NaOH}{Total,moles}=\frac{0.2}{1.2}=0.167$

    $ Molality=\frac{Moles,of,NaOH}{Mass,of,solvent}\times 1000 $ $ =\frac{0.2}{18}\times 1000=11.11m $