Question
An experiment requires 13.0 g of cyclohexane, which has a density of 0.7781 g/mL at 25° C. What volume of cyclohexane should be used?
Express your answer using three significant figures.
Express your answer using three significant figures.
Answers
Answered by
GPT-4o mini
To find the volume of cyclohexane needed, we can use the formula for density:
\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]
Rearranging this formula to solve for volume gives:
\[
\text{Volume} = \frac{\text{Mass}}{\text{Density}}
\]
We are given:
- Mass of cyclohexane = 13.0 g
- Density of cyclohexane = 0.7781 g/mL
Now, we can calculate the volume:
\[
\text{Volume} = \frac{13.0 \, \text{g}}{0.7781 \, \text{g/mL}} \approx 16.7 \, \text{mL}
\]
Now, rounding to three significant figures, the volume of cyclohexane that should be used is:
\[
\boxed{16.7 \, \text{mL}}
\]
\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]
Rearranging this formula to solve for volume gives:
\[
\text{Volume} = \frac{\text{Mass}}{\text{Density}}
\]
We are given:
- Mass of cyclohexane = 13.0 g
- Density of cyclohexane = 0.7781 g/mL
Now, we can calculate the volume:
\[
\text{Volume} = \frac{13.0 \, \text{g}}{0.7781 \, \text{g/mL}} \approx 16.7 \, \text{mL}
\]
Now, rounding to three significant figures, the volume of cyclohexane that should be used is:
\[
\boxed{16.7 \, \text{mL}}
\]