A composite rectangular block is constructed by firmly bonding two different pure…

CHEMISTRY · Multi-part · CBSE · Chemistry · The Amazing World of Solutes, Solvents, and Solutions · The Amazing World of Solutes, Solvents, and Solutions

Problem

A composite rectangular block is constructed by firmly bonding two different pure metals along a horizontal interface. Each metal occupies the full

4.0\,\text{cm}\times4.0\,\text{cm}

cross-section of the block. • Metal A forms a layer

2.0\,\text{cm}

thick. • Metal B forms a layer

3.0\,\text{cm}

thick. • The total mass of the composite block is

540\,\text{g}

. It is known that one of the layers is aluminum. The other layer is either brass, copper, lead, or zinc. The tabulated densities of these metals at room temperature are: Aluminum

2.70\,\text{g/cm}^3

Brass

8.4\,\text{g/cm}^3

Copper

8.9\,\text{g/cm}^3

Lead

11.3\,\text{g/cm}^3

Zinc

7.1\,\text{g/cm}^3

(a) Determine the volume of the aluminum layer and the volume of the other metal layer. (b) Assuming Metal A is aluminum, calculate the mass that the aluminum layer would contribute to the total mass. Then determine the mass attributable to Metal B. (c) Using the mass and volume of Metal B, calculate its density. (d) Identify Metal B by comparing the calculated density with the tabulated values, and discuss any assumptions made in your analysis that could affect the conclusion.

Related theory

Density

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