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 g/mL.


To determine the mass of ethane (CH₃CH₃) in the solution, follow these steps:

### Step 1: Calculate the total mass of the solution.
The volume of the solution is given as 50.0 mL, and the density is 0.611 g/mL. 

The mass of the solution can be calculated using the formula:

\[
\text{Mass of solution} = \text{Volume} \times \text{Density}
\]

\[
\text{Mass of solution} = 50.0 \, \text{mL} \times 0.611 \, \text{g/mL} = 30.55 \, \text{g}
\]

### Step 2: Calculate the mass of ethane in the solution.
The solution is 13.9% by mass ethane. This means that 13.9% of the total mass of the solution is ethane.

The mass of ethane can be calculated as:

\[
\text{Mass of ethane} = \text{Mass of solution} \times \left(\frac{\text{Percentage of ethane}}{100}\right)
\]

\[
\text{Mass of ethane} = 30.55 \, \text{g} \times \left(\frac{13.9}{100}\right) = 4.24545 \, \text{g}
\]

### Final Answer:
The mass of ethane (CH₃CH₃) in the 50.0 mL solution is **4.25 g** (rounded to two decimal places).

Would you like more details or have any questions?

Here are 5 related questions:
1. How would the mass of ethane change if the volume of the solution were doubled?
2. What is the mass of hexane in the 50.0 mL solution?
3. How would you find the volume of ethane in the solution?
4. How does the density of the solution affect the mass of ethane calculated?
5. What are the steps to determine the concentration of ethane in ppm?

**Tip:** When dealing with percentage by mass in solutions, always ensure to correctly calculate the total mass of the solution before applying the percentage.

Learn how to calculate the mass of ethane (CH₃CH₃) in a 50.0 mL solution containing 13.9% by mass ethane in hexane. Follow a step-by-step solution using density and percentage calculations. Suitable for high school chemistry students.

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