Concept explainers
Carry out the following conversions: (a)
Interpretation:
The given conversions are to be carried out by dimensional analysis.
Concept introduction:
Dimensional analysis is a way to convert the units of measurement. In order to convert one unit to another, one needs to know the relationship between those units. These relationships are called conversion factors. Dimensional analysis is used to set up and solve a unit conversion problem using conversion factors.
Conversion factor is a fraction obtained from a relationship between the units. It is written as a ratio, and can be inverted to give two conversion factors for every relationship.
Answer to Problem 57QP
Solution:
a)
b)
c)
d)
Explanation of Solution
a)
Convert the quantity
The conversion factors for the relationship
The conversion factors for the relationship
Now, set up the unit conversion problem using the appropriate conversion factors.
The units in the conversion factor must cancel to give the correct unit for the answer. The answer is rounded off to
Hence,
b)
Convert the quantity
The conversion factors for the relationship
Now, set up the unit conversion problem using the appropriate conversion factor.
The units in the conversion factor must cancel to give the correct unit for the answer.
Hence,
c)
Convert the quantity
The conversion factors for the relationship
Now, set up the unit conversion problem using the appropriate conversion factor.
The units in the conversion factor must cancel to give the correct unit for the answer. The answer is rounded off to
Hence,
d)
Convert the quantity
The conversion factors for the relationship
The conversion factors for the relationship
Now, set up the unit conversion problem using the appropriate conversion factors.
The units in the conversion factor must cancel to give the correct unit for the answer.
Hence,
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Chapter 1 Solutions
Chemistry
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