Solveeit Logo

Question

Question: Density of a 2.05 M solution of acetic acid in water is 1.02 g/mL. The molality of the solution is...

Density of a 2.05 M solution of acetic acid in water is 1.02 g/mL. The molality of the solution is

A

3.28 mol Kg–1

B

2.28 mol Kg–1

C

0.44 mol Kg–1

D

1.14 mol Kg–1

Answer

2.28 mol Kg–1

Explanation

Solution

Molality, m = M1000 dMM2\frac { \mathrm { M } } { 1000 \mathrm {~d} - \mathrm { MM } _ { 2 } } × 1000

where M = molarity, d = density, M2 = molecular mass

m = 2.051000×1.022.05×60\frac { 2.05 } { 1000 \times 1.02 - 2.05 \times 60 } = 2.28 mol kg–1