Chapter 8, Problem 138A

Interpretation Introduction

Interpretation:

The line graph of given mass and volume data needs to be drawn to interpret the slope of line. Also, the information from that slope of line needs to be deduced.

Volume	Mass
4.1 mL	9.36 g
6.0 mL	14.04 g
8.0 mL	18.72 g
10.0 mL	23.40 g

Concept introduction:

Both mass and volume are physical quantity which are related to each other. The mass of substance per volume is called as density of that substance.

Answer to Problem 138A

Slope = 2.73 g/mL

Slope of line curve gives the density of substance.

Explanation of Solution

Given information:

Mass and volume have linear relation.

Plot the curve with the given data:

Calculate slope:

$\begin{array}{l}\text{Slope = }\frac{{\text{y}}_{\text{2}}{\text{ - y}}_{\text{1}}}{{\text{x}}_{\text{2}}{\text{ - x}}_{\text{1}}}\\ \text{Slope = }\frac{\text{15 g - 18 g}}{\text{6}\text{.4 mL - 7}\text{.5 mL}}\text{=}\frac{\text{3g}}{\text{1}\text{.1mL}}\text{=2}\text{.73g/mL}\end{array}$

The slope of line is mass per volume that is density of substance.

Conclusion

Slope of line curve from mass and volume data gives the density of substance.