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Chapter 1: Problem 26

Calculate the density of a piece of metal if its mass is 201.0 \(\mathrm{g}\) and its volume is 18.9 \(\mathrm{cm}^{3} .\)

Short Answer

Expert verified
The density of the metal is approximately 10.63 g/cm\(^{3}\).

Step by step solution

01

Identify the Given Variables

The problem provides the mass \(m\) of the metal as 201.0 g and the volume \(V\) as 18.9 cm\(^{3}\). These are the two key variables needed to calculate density.
02

Use the Formula for Density

The formula for density \(\rho\) is \(\rho = \frac{m}{V}\). The problem is asking for the density of the metal, so simply substitute the given values of mass and volume into the formula.
03

Calculate the Density

After substituting the given values into the density formula, we get \(\rho = \frac{201.0 g}{18.9 cm^{3}}.\) Calculate this division to find the density of the metal.

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