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**Problem**: A box contains a mixture of small copper spheres and small lead spheres. The total volume of both metals is measured by the displacement of water to be 426 cm3 and the total mass is 4.31 kg .What percentage of the spheres are copper?

###### FREE Expert Solution

###### FREE Expert Solution

We are being asked to calculate the **percentage of copper spheres in the mixture**.

We are given: total mass = 4.31 kg and total volume = 426 cm^{3}

**This mean:**

mass_{Cu} + mass_{Pb} = 4.31 kg

Volume_{Cu} + Volume_{Pb} = 426 cm^{3}

We can relate mass and volume using **density**.

Recall: **Density** represents the mass of an object or compound within a given volume.

$\overline{){\mathbf{Density}}{\mathbf{\left(}}{\mathbf{d}}{\mathbf{\right)}}{\mathbf{}}{\mathbf{=}}{\mathbf{}}\frac{\mathbf{mass}\mathbf{}\mathbf{\left(}\mathbf{m}\mathbf{\right)}}{\mathbf{Volume}\mathbf{}\mathbf{\left(}\mathbf{V}\mathbf{\right)}}}$

###### Problem Details

A box contains a mixture of small copper spheres and small lead spheres. The total volume of both metals is measured by the displacement of water to be 426 cm^{3} and the total mass is 4.31 kg .

What percentage of the spheres are copper?

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Density of Non-Geometric Objects concept. You can view video lessons to learn Density of Non-Geometric Objects Or if you need more Density of Non-Geometric Objects practice, you can also practice Density of Non-Geometric Objects practice problems .

How long does this problem take to solve?

Our expert Chemistry tutor, Rae-Anne took 13 minutes to solve this problem. You can follow their steps in the video explanation above.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Burdette's class at Worcester Polytechnic Institute.