Chapter 1, Problem 58A

(a)

To determine

Mass of each substance of volume $30{\text{cm}}^{\text{3}}$ .

Explanation of Solution

Given:

A graph of Mass versus volume.

Volume of each substance is $30{\text{cm}}^{\text{3}}$ .

Calculations:

  

From graph, mass of substance A is 80 g, mass of substance B is 260 g and mass of substance C is 400 g.

(b)

To determine

Volume of each substance if mass is 100 g.

Explanation of Solution

Given:

A graph of Mass versus volume.

Mass of each substance is 100 g.

Calculations:

  

From graph, volume of substance A is $36{\text{cm}}^{\text{3}}$ , mass of substance B is $10{\text{cm}}^{\text{3}}$ and mass of substance C is $7{\text{cm}}^{\text{3}}$ .

(c)

To determine

To Explain: Meaning of slope in the graph.

Explanation of Solution

Introduction:

Density of a substance is the ratio of its mass and volume.

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

With increase in volume, the mass also increases i.e. for every increase in cubic meter volume of the substance, there is increase in gram mass. The slope represents the density of the substance.

(d)

To determine

To Explain: The meaning of y-intercept

Explanation of Solution

Given:

A graph of Mass versus volume.

y-intercept of each line is zero.

y-intercept is zero for each line. It means that when the volume of a substance reduces to zero, the mass also becomes zero, i.e., the substance does not exist.