A 5.25 solution of a substance is isotonic

Asked by admin @ 29/08/2021 in Chemistry viewed by 261 People

A 5.25% solution of a substance is isotonic with a 1.5% solution of urea (molar mass = 60 g mol⁻¹) in the same solvent. If the densities of both the solutions are assumed to be equal to 1.0 g cm⁻³, molar mass of the substance will be (a) 210.0 g mol⁻¹ (b) 90.0 g mol⁻¹(c) 115.0 g mol⁻¹(d) 105.0 g mol⁻¹.

Answered by admin @ 29/08/2021

Answer:

(a) 210.0 g mol^-1 is the correct answer.

Explanation:

Isotonic solution:

Two or more solutions exerting the same osmotic pressure are called as isotonic solution.

The example of isotonic solution is given below:

0.05M urea solution and 0.05M sucrose solution are isotonic solutions as their osmotic pressure is exactly equal.

If these 2 solutions are passes through a semi permeable membrane, there is no flow of solvent in either direction.

Given data

5.25% solution of a substance is isotonic with a 1.5% solution

urea (molar mass = 60 g mol^-1

The solvent used is same solvent

Densities of both the solutions =1.0 g cm^-3,

To find:

molar mass of the substance =?

The solutions are isotonic.

Thus according to the definition,

The concentrations of the solution will be the same.

C1 = C2

5.25/M= 1.5/60 .... (Given data)

Thus by cross multiplication

M = 60×5.25/1.5

= 315/1.5

= 210 g/mol

Thus molecular mass of the substance is 210g/mol.

Hence,

(a) 210.0 g mol^-1 is the correct answer.

A 5.25 solution of a substance is isotonic

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