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How much water will a 1.00 kg metal block displace with a density of [tex]$7.00 \, \text{kg/L}$[/tex]?

A. 143 L
B. 1.43 L
C. 0.143 L
D. 14.3 L

Answer :

To solve this question, we need to determine how much water the metal block will displace based on its density and mass. Here's how to approach the problem step-by-step:

1. Understand the Concept: When a metal block is submerged in water, it will displace an amount of water equal to its own volume. We can find this volume using its mass and density.

2. Given Data:
- Mass of the metal block = 1.00 kg
- Density of the metal = 7.00 kg/L

3. Formula to Use:
To find the volume of the metal block, we can rearrange the density formula:

[tex]\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\][/tex]

Rearrange to solve for volume:

[tex]\[
\text{Volume} = \frac{\text{Mass}}{\text{Density}}
\][/tex]

4. Calculate the Volume:
- Substitute the given mass and density into the formula:

[tex]\[
\text{Volume} = \frac{1.00 \, \text{kg}}{7.00 \, \text{kg/L}}
\][/tex]

- Calculate the result:

[tex]\[
\text{Volume} \approx 0.143 \, \text{L}
\][/tex]

5. Conclusion: The metal block will displace approximately 0.143 liters of water.

Therefore, the correct answer is 0.143 L.

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