Question
What is the volume of 0.054 kg of water? \( \begin{array}{l}\text { A. } 0.54 \mu \mathrm{~L} \\ \text { B. } 5.4 \mathrm{dL} \\ \text { C. } 54 \mathrm{~L} \\ \text { D. } 54 \mathrm{~mL}\end{array} \)
Ask by Lang Mckenzie. in the United States
Jan 21,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The volume of 0.054 kg of water is 54 mL.
Solution
To determine the volume of 0.054 kg of water, we can use the relationship between mass, volume, and density. The density (\( \rho \)) of water is approximately \( 1 \, \text{kg/L} \).
The formula relating these quantities is:
\[
\text{Density} (\rho) = \frac{\text{Mass} (m)}{\text{Volume} (V)}
\]
Rearranging the formula to solve for volume:
\[
V = \frac{m}{\rho}
\]
Substituting the known values:
\[
V = \frac{0.054 \, \text{kg}}{1 \, \text{kg/L}} = 0.054 \, \text{L}
\]
Since \( 1 \, \text{L} = 1000 \, \text{mL} \):
\[
0.054 \, \text{L} = 54 \, \text{mL}
\]
**Answer: D. 54 mL**
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
To find the volume of 0.054 kg of water, we need to use the fact that the density of water is approximately 1 kg/L. This means that 1 kg of water occupies 1 liter (L) of volume. So, 0.054 kg of water would occupy \( 0.054 \, L \) or \( 54 \, mL \) (since 1 L = 1000 mL). Therefore, the correct answer is D. 54 mL. Often, students might confuse mass and volume or forget to convert units correctly. A handy tip is to always remember that for water, 1 gram equals 1 milliliter, which simplifies calculations greatly. Remember to check your unit conversions, especially when dealing with larger or smaller quantities!
