The density of 'x' M solution ('x' molar) of NaOH is 1.12 g mL-1, while in molality, the concentration of the solution is 3 m ( 3 molal). Then x is (Given : Molar mass of NaOH is 40 g/mol)
- 3.8
- 3.0
- 3.5
- 2.8
Answer
(2) 3.0
Solution
Take 1 L solution: mass = 1000 1.12 = 1120 g; NaOH = x mol = 40x g
⇒ mass of water = (1120 - 40x) g
m = x 10001120 - 40x = 3
⇒ 1000x = 3360 - 120x
⇒ 1120x = 3360 ⇒ x = 3.0
Answer: (2)