Calculate the density in grams per cubic centimeter for a piece of metal with a
mass of 2.3 x 10-4
kg displaces 8.0x10^-2 mL of water.

To calculate the density of the metal, we will use the formula:

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

Given:
- Mass = \(2.3 \times 10^{-4}\) kg
- Volume = \(8.0 \times 10^{-2}\) mL

We need to convert these values to consistent units:
1. Convert mass from kilograms to grams:
\[
2.3 \times 10^{-4} \, \text{kg} \times 1000 \, \left( \frac{\text{g}}{\text{kg}} \right) = 0.23 \, \text{g}
\]
2. The volume is already given in mL, and since 1 mL = 1 cm³, the volume is \(8.0 \times 10^{-2}\) cm³.

Now, we can calculate the density:
\[
\text{Density} = \frac{0.23 \, \text{g}}{8.0 \times 10^{-2} \, \text{cm}^3} = 2.875 \, \text{g/cm}^3
\]

Thus, the density of the metal is \(2.875 \, \text{g/cm}^3\).

Would you like further details on the calculations, or do you have any questions?

Here are 5 related questions:
1. How does the displacement method help determine volume in density calculations?
2. What would happen to the density if the mass increased but the volume stayed the same?
3. How does converting units impact the accuracy of density calculations?
4. What is the relationship between density, mass, and volume in different states of matter?
5. Why are cm³ and mL interchangeable in density calculations?

**Tip:** Always ensure units are consistent when calculating density to avoid errors!

Calculate the density in grams per cubic centimeter for a piece of metal with a mass of 2.3 x 10^-4 kg that displaces 8.0 x 10^-2 mL of water.

This page explains how to calculate the density of a metal given its mass (2.3 x 10^-4 kg) and the volume of water displaced (8.0 x 10^-2 mL). Learn to apply the density formula and perform unit conversions, suitable for students in Grades 9-12.

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