Interpretation:
The conversions are to be carried out by dimensional analysis for given units of measurement.
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 66QP
Solution:
a)
b)
c)
Explanation of Solution
a)32.4 yd to centimeters
The conversion factors are as follows:
Now, set up the unit conversion calculation using the appropriate conversion factors.
The conversion is as follows:
The units in the conversion factor must cancel to give the correct unit for the answer.
Hence,
b)
The conversion factors are as follows:
Now, set up the unit conversion calculation using the appropriate conversion factors.
The conversion is as follows:
The units in the conversion factor must cancel to give the correct unit for the answer.
Hence,
c)
First, convert the speed of light in m/s to mph.
The conversion is as follows:
The number of hours in a year is calculated as follows:
The miles in one light year is calculated as follows:
The final conversion is as follows:
Hence,
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Chapter 1 Solutions
Chemistry
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- A metal object of an irregular shape has a mass of 31.5 grams. When the metal is added to water in a graduated cylinder, the volume of water increases from 5.28 mL to 7.61 mL. (A) How much water does the metal displace? (B) Calculate the density of the metal. (C) Is the metal made of platinum? Explain. (Hint: the density of platinum = 21.4 g/cm³)arrow_forward(1) A rectangular block of wood has the following dimensions: 10.0 cm x 5.00 cm x 4.00 cm. The block weight 100 g. What is the density of the block of wood? (2) What is the mass of a 400-mL sample of ethyl alcohol if its density is 0.8 g/mL?arrow_forwardCalculate these volumes.(a) What is the volume of 35 g iodine, density = 4.93 g/cm 3 ?(b) What is the volume of 33.28 g gaseous hydrogen, density = 0.089 g/L?arrow_forward
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- Chemistry & Chemical ReactivityChemistryISBN:9781337399074Author:John C. Kotz, Paul M. Treichel, John Townsend, David TreichelPublisher:Cengage Learning