# Problem 5.36: Calculating the Density of a Hypothetical Alloy

Complete Question: A hypothetical alloy is composed of 25 wt% of metal A and 75 wt% of metal B. The densities of metal A and metal B are 6.17 g/cm³ and 8.00 g/cm³, respectively. Calculate the overall density of the alloy.

## Answer:

## Calculating the Density of a Hypothetical Alloy

**Given Data:**- Metal A weight percentage: 25% - Metal B weight percentage: 75% - Density of metal A: 6.17 g/cm³ - Density of metal B: 8.00 g/cm³

**Formula:**Density of Alloy = (Weight Percentage of A * Density of A) + (Weight Percentage of B * Density of B)

**Calculations:**Density of Alloy = (0.25 * 6.17 g/cm³) + (0.75 * 8.00 g/cm³) Density of Alloy = 1.5425 g/cm³ + 6.00 g/cm³ Density of Alloy = 7.5425 g/cm³ Rounding off to the appropriate number of significant figures, the density of the alloy is 7.25 g/cm³. By using the given data and applying the formula for calculating the density of the alloy based on the weighted average of metal A and metal B, we have determined that the overall density of the hypothetical alloy is 7.25 g/cm³.