Concept explainers
A two-gram sample of a red-colored liquid is found to have a volume of four cubic centimeters. Calculate the liquid’s density using the following uncertainty specifications, and express your answers in scientific notation.
- a. 2.00 g and 4.000 cm3
- b. 2.000 g and 4.0 cm3
- c. 2.0000 g and 4.000 cm3
- d. 2.000 g and 4.0000 cm3
(a)
Interpretation:
If
Concept Introduction:
Density is a physical property and specific for each substance under fixed conditions. It is defined as the ratio of mass of a substance to the volume of the substance. If the answer obtained using the above density formula has to be expressed as a scientific notation, the operational rule can be applied here, which states that the number of significant figures in the answer after solving a multiplication or division problem is same as the number of fewest significant figures present in the measurement.
Answer to Problem 2.100EP
The density is
Explanation of Solution
Density can be calculated using the below formula.
Since the significant figures for mass and volume are three and four respectively, the fewest significant figures here is three, hence the answer obtained too has a significant figure of three.
The density is
(b)
Interpretation:
If
Concept Introduction:
Density is a physical property and specific for each substance under fixed conditions. It is defined as the ratio of mass of a substance to the volume of the substance. If the answer obtained using the above density formula has to be expressed as a scientific notation, the operational rule can be applied here, which states that the number of significant figures in the answer after solving a multiplication or division problem is same as the number of fewest significant figures present in the measurement.
Answer to Problem 2.100EP
The density is
Explanation of Solution
Density can be calculated using the below formula.
Since the significant figures for mass and volume are four and two respectively, the fewest significant figures here is two, hence the answer obtained too has a significant figure of two.
The density is
(c)
Interpretation:
If
Concept Introduction:
Density is a physical property and specific for each substance under fixed conditions. It is defined as the ratio of mass of a substance to the volume of the substance. If the answer obtained using the above density formula has to be expressed as a scientific notation, the operational rule can be applied here, which states that the number of significant figures in the answer after solving a multiplication or division problem is same as the number of fewest significant figures present in the measurement.
Answer to Problem 2.100EP
The density is
Explanation of Solution
Density can be calculated using the below formula.
Since the significant figures for mass and volume are five and four respectively, the fewest significant figures here is four, hence the answer obtained too has a significant figure of four.
The density is
(d)
Interpretation:
If
Concept Introduction:
Density is a physical property and specific for each substance under fixed conditions. It is defined as the ratio of mass of a substance to the volume of the substance. If the answer obtained using the above density formula has to be expressed as a scientific notation, the operational rule can be applied here, which states that the number of significant figures in the answer after solving a multiplication or division problem is same as the number of fewest significant figures present in the measurement.
Answer to Problem 2.100EP
The density is
Explanation of Solution
Density can be calculated using the below formula.
Since the significant figures for mass and volume are four and five respectively, the fewest significant figures here is four, hence the answer obtained too has a significant figure of four.
The density is
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Chapter 2 Solutions
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