Question
64.5 mL of ethanol (density \( =0.798 \frac{\mathrm{~g}}{\mathrm{~mL}} \) ). Round your answer to 3 significant digits. mass: \( \square \mathrm{g} \)
Ask by Newton Beck. in the United States
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Mass: 51.5 g
Solution
To calculate the mass of ethanol, you can use the formula:
\[
\text{mass} = \text{volume} \times \text{density}
\]
Given:
- Volume (\( V \)) = 64.5 mL
- Density (\( \rho \)) = 0.798 g/mL
\[
\text{mass} = 64.5 \, \text{mL} \times 0.798 \, \frac{\text{g}}{\text{mL}} = 51.471 \, \text{g}
\]
Rounding to three significant digits:
\[
\text{mass} \approx 51.5 \, \text{g}
\]
**Mass: 51.5 g**
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Simplify this solution The Deep Dive
To find the mass of ethanol, you can use the formula: \[ \text{mass} = \text{volume} \times \text{density} \] Plugging in the values: \[ \text{mass} = 64.5 \, \text{mL} \times 0.798 \, \frac{\text{g}}{\text{mL}} = 51.411 \, \text{g} \] Rounding to three significant digits, the mass of ethanol is: \[ \text{mass} = 51.4 \, \text{g} \]
