Final answer:
The concentration in %m/v of a 0.713 M aqueous solution of dimethyl ether is calculated to be 3.28%, which is not listed among the options given.
Step-by-step explanation:
To calculate the concentration in %m/v of a 0.713 M aqueous solution of dimethyl ether (molar mass = 46.07 g/mol), we first need to determine the mass of solute in one liter (1000 mL) of the solution. Since the molarity (M) is moles per liter, we have:
0.713 moles/L × 46.07 g/mole = 32.8491 grams of dimethyl ether per liter.
Next, to find the %m/v concentration:
(Mass of solute in g per 1000 mL of solution) ÷ (1000) × (100) = %m/v concentration
(32.8491 g ÷ 1000 mL) × 100 = 3.28%
Therefore, the correct %m/v concentration of the solution is 3.28%, which is not one of the options provided. It seems there might be an error in the options given, as none of them match the calculated value.