Chapter 2.1, Problem 3PP

Interpretation Introduction

Interpretation:

The final volume of $147g$ piece metal that has a density of $7.00g/mL$ is to be calculated after it is added to a $50mL$ cylinder that contains $20.0mL$ of water.

Concept introduction:

The relation between density, volume and mass of a substance is as follows:

$Density= \frac{Mass}{Volume}$

Answer to Problem 3PP

The Final volume $=42mL$

Explanation of Solution

In a statement, $Mass =147g$ and $Density=7g/mL$ $=?$ and volume $=?$

Now, to calculate the volume of the metal’s piece, use the formula of Density which is given below:

$Density= \frac{Mass}{Volume}$

By rearranging the above-mentioned formula,

$Volume= \frac{Mass}{Density}$

By punting the given value in this formula,

$Volume= \frac{147 g}{7.00g/mL}=21.0 mL$

In the given statement, volume of metal $=21.0 mL$

After adding the metal’s piece, the final volume (cylinder) is

$21.0 mL+=21.0 mL=42.0mL$

Conclusion

Total volume $=42mL$