Concept explainers
The volume of an irregularly shaped solid can be determined by immersing the solid in a liquid and measuring the volume of liquid displaced. Find the volume and density of the following:
a. An irregular piece of the mineral quartz is found to weigh
b. The volume of a sample of lead shot is determined using a graduated cylinder, as in part (a). The cylinder readings are
c. A sample of coarse rock salt is found to have a mass of
(a)
Interpretation:
The volume and density of an irregular piece of the mineral quartz weighing
Concept introduction:
The density of a substance is defined as the ratio of its mass to the volume. The expression for density is given below.
Where,
•
•
•
The volume of an irregularly shaped solid can be determined by immersing the solid in a liquid and measuring the volume of liquid displaced.
Answer to Problem 1.97E
The volume and density of an irregular piece of the mineral quartz weighing
Explanation of Solution
The volume displaced by immersing the mineral quartz in a graduated cylinder that contains water is calculated as given below.
Where,
•
•
Substitute the values in the above expression as follows.
The density is calculated as given below.
Where,
•
•
•
Substitute the values in the above expression as follows.
Thus, the density of mineral quartz is found to be
The volume and density of an irregular piece of the mineral quartz weighing
(b)
Interpretation:
The volume and density of a lead shot weighing
Concept introduction:
The density of a substance is defined as the ratio of its mass to the volume. The expression for density is given below.
Where,
•
•
•
The volume of an irregularly shaped solid can be determined by immersing the solid in a liquid and measuring the volume of liquid displaced.
Answer to Problem 1.97E
The volume and density of a lead shot weighing
Explanation of Solution
The volume displaced by immersing the lead shot in a graduated cylinder that contains water is calculated as given below.
Where,
•
•
Substitute the values in the above expression as follows.
The density is calculated as given below.
Where,
•
•
•
Substitute the values in the above expression as follows.
Thus, the density of lead shot is found to be
The volume and density of a lead shot weighing
(c)
Interpretation:
The volume and density of rock salt weighing
Concept introduction:
The density of a substance is defined as the ratio of its mass to the volume. The expression for density is given below.
Where,
•
•
•
The volume of an irregularly shaped solid can be determined by immersing the solid in a liquid and measuring the volume of liquid displaced.
Answer to Problem 1.97E
The volume and density of rock salt weighing
Explanation of Solution
The volume displaced by immersing rock salt in a graduated cylinder that contains kerosene is calculated as given below.
Where,
•
•
Substitute the values in the above expression as follows.
The density is calculated as given below.
Where,
•
•
•
Substitute the values in the above expression as follows.
Thus, the density of rock salt is found to be
The volume and density of rock salt weighing
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