Mass of Urea () required to be dissolved in 1000 g of water in order to reduce the vapour pressure of water by 25% is ______ g. (Nearest integer) Given: Molar mass of N, C, O and H are 14, 12, 16 and 1 g respectively. [2023]

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Solution

Q.
Mass of Urea ( ${NH}_{2} {CONH}_{2}$ ) required to be dissolved in 1000 g of water in order to reduce the vapour pressure of water by 25% is ______ g. (Nearest integer)

Given: Molar mass of N, C, O and H are 14, 12, 16 and 1 g ${mol}^{- 1}$ respectively. [2023]

Ans.
(1111)

For a solution,

$\frac{P^{0} - P_{s}}{P_{s}} = \frac{n}{N}$

$\frac{100 - 75}{75} = \frac{w_{urea} \times 18}{60 \times 1000}$

$w_{urea} = 1111.1 gm$

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