calculate the mass of urea(NH2CONH2)required in making 2.5kg of 0.25 molal aqueous solution.
Answers
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Molar mass of urea (NH2CONH2)
= 2(1 × 14 + 2 × 1) + 1 × 12 + 1 × 16
= 60 g mol^−1
0.25 molar aqueous solution of urea means:
1000 g of water contains 0.25 mol
= (0.25 × 60)g of urea
= 15 g of urea
That is,
(1000 + 15) g of solution contains 15 g of urea
Therefore, 2.5 kg (2500 g) of solution contains
= (15× 2500)/( 1000+ 15 )
=36.95 g
= 37 g of urea (approximately)
Hence, mass of urea required = 37 g
I hope, this will help you.☺
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Given,
A molal solution is a solution that contains 1 molecular weight of solute in a kilogram of solvent.
2.5 kg of 0.25 molal aqueous solution.
Molar mass of urea (NH2CONH2) = (2 (1 × 14 + 2 × 1) + 1 × 12 + 1 × 16)= 60 g/mol
1000 g of water contains 0.25 mol = (0.25 × 60) g of urea.
= 15 g of urea.
Means, 1015 g of solution contains 15 g of urea
Therefore,
2500 g of solution contains = 15×2500/1015
= 36.95 g
Hence, mass of urea required is 37 g (approx).