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

Question

The mole fraction of urea in an aqueous urea solution containing

900 g

of water is

0.05

. If the density of the solution is

1.2 g {c m}^{- 3}

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

60 g {m o l}^{- 1}

and

18 g {m o l}^{- 1}

, respectively)

Aicharya · Accepted Answer

Mole fraction &#8658; 0.05 Number of moles of water &#8658; 900 18 = 50 &#8756; n u r e a n u r e a + 50 = 0.05 n u r e a = 2.63 Mass of urea = W u r e a = 2.63 &#215; 60 &#8658; 157.8 &#8201; g Total mass of solution &#8658; 157.8 + 900 &#8658; 1057.8 &#8201; g Volume of solution &#8658; 1057.8 1.2 m l &#8658; 881.5 &#8201; m l Molarity &#8658; n o . &#8201; o f &#8201; m o l e s &#8201; o f &#8201; s o l u t i o n s v o l u m e &#8201; o f &#8201; s o l u t i o n &#8201; i n &#8201; L &#8658; 2.63 0.8815 &#8658; 2.98 &#8201; M

The mole fraction of urea in an aqueous urea solution containing 900   g of water is 0.05 . If the…

Solution

The mole fraction of urea in an aqueous urea solution containing 900 &#160; g of water is 0.05 . If the…

Solution

The mole fraction of urea in an aqueous urea solution containing 900 g of water is 0.05 . If the…