How to calculate molar concentration (c) from mass fraction (w) and solution density (ρ)?

The molar concentration (c) equals (1000 × ρ × w) / M, where ρ is the solution density (g/mL), w is the mass fraction of solute, and M is the molar mass of sol…

Syllabus path: Fundamental Chemical Concepts and Calculations › Mole Calculations

CSCA Exam Prep

This formula is aligned to the CSCA undergraduate admissions exam syllabus. Continue with the linked tutorial and topic practice.

Practice related questions (15) · Start mock exam · Sign up — AI explanations · Membership plans

CSCA Chemistry Formula Reference

Formula and explanation

The molar concentration (c) equals (1000 × ρ × w) / M, where ρ is the solution density (g/mL), w is the mass fraction of solute, and M is the molar mass of solute (g/mol). Formula: c = (1000 ho w)/(M) Applicable conditions: Applicable to solutions with known density and mass fraction. Explanation: This is an important conversion formula connecting solution concentration, density, and solute molar mass.

Related tutorial and examples

Mole Calculations

Core Concepts: Mole Calculations This section is the "heart" of chemical calculations. Whether the question asks for mass, volume, or particle count, the path to the solution almost always requires finding the Amount of Substance ( n ) first. Remember the golden rule: "Convert ev…

Read the full tutorial and worked examples

Plan your next CSCA study step

Use this topic in a focused practice set, then connect it to the exam requirements and timed papers.