What mass of ethane (CH3CH3) is contained in 50.0 mL of a 13.9% by mass solution of ethane in hexane? The density of the solution is 0.611 m. A. 8.49 g
B. 2.35 g
C. 11.8 g
D. 4.25 g
E. 6.95 g

in a solution with mass 30.55 grams, 4.25 grams is ethane

Option D is correct

Explanation:

Step 1: Data given

Volume of the solution = 50.0 mL = 0.05 L

Density of the solution = 0.611 m (g/mL)

mass % of the solution = 13.9 %

This means for every 100 grams of solution we have 13.9 grams of solute

Step 2: Calculate the mass of the solution

Density = mass/ volume

0.611 g/mL = mass of solution / 50.0 mL

Mass of the solution = 0.611 g/mL * 50.0 mL

Mass of the solution = 30.55 grams

Step 3: Calculate mass of ethane

Since the mass % = 13.9 % this means that there is 13.9 grams solute (ethane) for every 100 grams of solution

For a solution with mass 30.55 grams the mass of the solute (ethane) is:

(30.55/100)* 13.9 = 4.25 grams

This means that in a solution with mass 30.55 grams, 4.25 grams is ethane

Option D is correct

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