Question

M (molarity) devided by m (molality) = ?

answer is on density,volume,m and M

Answer 1

Answer on Question #44578 – Chemistry – Inorganic Chemistry

Question:

M (molarity) devided by m (molality) = ?

answer is on density, volume, m and M

Answer:

$$\text{Molarity (M)} = \frac{\text{amount (mol) of solute}}{\text{volume (L) of solution}}$$ $$\text{Molality (m)} = \frac{\text{amount (mol) of solute}}{\text{mass (kg) of solvent}}$$

So if we devide Molarity (M) to Molality (m) we will get:

$$\frac{\text{Molarity (M)}}{\text{Molality (m)}} = \frac{\frac{\text{amount (mol) of solute}}{\text{volume (L) of solution}}}{\frac{\text{amount (mol) of solute}}{\text{mass (kg) of solvent}}} = \frac{\text{amount (mol) of solute} \times \text{mass (kg) of solvent}}{\text{amount (mol) of solute} \times \text{volume (L) of solution}} = \frac{\text{mass (kg) of solvent}}{\text{volume (L) of solution}} = \text{density}$$

Answer: density

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