The mole fraction of urea in an aqueous urea solution containing $900g$ of water is $0.05$ . If the density of the solution is $1.2g{cm}^{- 3}$ , the molarity of urea solution is _______
(Given data: Molar masses of urea and water are $60g{mol}^{- 1}$ and $18g{mol}^{- 1}$ , respectively)

Question

The mole fraction of urea in an aqueous urea solution containing

900g

of water is

0.05

. If the density of the solution is

1.2g{cm}^{- 3}

, the molarity of urea solution is _______
(Given data: Molar masses of urea and water are

60g{mol}^{- 1}

and

18g{mol}^{- 1}

, respectively)

Quantrex Academy · Accepted Answer

Correct answer: 0

Mole fraction ⇒ 0.05 Number of moles of water ⇒ (900)/(18) = 50 ∴ n _ urea n _ urea + 50 = 0.05 n _ urea = 2.63 Mass of urea = ( W _ urea ) = 2.63 × 60 ⇒ 157.8g Total mass of solution ⇒ 157.8 + 900 ⇒ 1057.8g Volume of solution ⇒ (1057.8)/(1.2)ml ⇒ 881.5ml Molarity ⇒ (no . ofmolesofsolutions)/(volumeofsolutioninL) ⇒ (2.63)/(0.8815) ⇒ 2.98M

The mole fraction of urea in an aqueous urea solution containing...

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