Target Exam

CUET

Subject

Chemistry

Chapter

Physical: Solutions

Question:

Calculate the mass of urea (NH2CONH2) required in making 2.5 kg of 0.25 molal aqueous solution.

Options:

32 g

37 g

42 g

50 g

Correct Answer:

37 g

Explanation:

0.25 molal aqueous solution of urea means that 0.25 mole of urea are present in 1 kg of water  

Moles of urea = 0.25 mole 
Mass of solvent (water) = 1 kg = 1000 g 
Molar mass of urea (NH2​CONH2​) = 60 g mol-1
0.25 mole of urea = 0.25mol × 60 g mol-1 = 15 g 
Total mass of solution = 1000 + 15 g = 1015 g = 1.015 kg
Thus; 1.015 kg of solution contain urea = 15 g 
1 kg of the solution contains urea = \(\frac{15}{1.015}\)
2.5kg of solution will require urea = \(\frac{15}{1.015}\) x 2.5 = 37 g