Question

What is the mass % of acetone in a 1.77 M solution of acetone (MM = 58.08 g/mol) in water? The density of the solution is 0.971 g/mL.

Answer 1

Answer:

$\%m/m=10.6\%$

Explanation:

Hello!

In this case, since the by-mass percent is defined by:

$\%m/m=\frac{m_{solute}}{m_{solution}} *100\%$

Thus, since the given 1.77 M solution is given in terms of mol/L, we need to compute the mass of acetone via its molar mass and the volume of solution in L to g via the density:

$\%m/m=1.77\frac{mol}{L}*\frac{58.08g}{1mol}*\frac{1L}{1000mL}*\frac{1mL}{0.971g} *100\%\\\\\%m/m=10.6\%$

Best regards!