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Answer: (a) Derive the equation relating the molality (m)

Chapter 12, Problem 135P

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QUESTION:

(a) Derive the equation relating the molality (m) of a solution to its molarity (M)

where d is the density of the solution (g/mL) and ℳ is the molar mass of the solute (g/mol). (Hint: Start by expressing the solvent in kilograms in terms of the difference between the mass of the solution and the mass of the solute.) (b) Show that, for dilute aqueous solutions, m is approximately equal to M.

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QUESTION:

(a) Derive the equation relating the molality (m) of a solution to its molarity (M)

where d is the density of the solution (g/mL) and ℳ is the molar mass of the solute (g/mol). (Hint: Start by expressing the solvent in kilograms in terms of the difference between the mass of the solution and the mass of the solute.) (b) Show that, for dilute aqueous solutions, m is approximately equal to M.

ANSWER:

Step 1 of 5

Given weight of solute is denoted by ‘W’.

Volume of solution is denoted by ‘V’.

Molarity is denoted by ‘M’.

Molality is denoted by ‘m’.

Molar mass of solute is denoted by ‘ M’ ’.

Weight of solvent in gram is denoted by ‘ W’ ‘.

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