Textbook Question
The radius of an atom of copper (Cu) is about 140 pm. (b) How many Cu atoms would have to be placed side by side to span a distance of 5.0 mm?
1. Intro to General Chemistry
Dimensional Analysis
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A large scale ranching farm possesses 22.5 million acres with 5.0 x 10-5 % reserved for housing. Determine how many square kilometers this area for dwelling represents. (1 km = 0.6214 miles) (1 mile = 5280 ft) (1 acre = 43,560 ft2)
A
9.2 km2
B
0.115 km2
C
1.8 km2
D
0.046 km2
Verified step by step guidance1
First, calculate the area reserved for housing in acres. Multiply the total area of the ranch, 22.5 million acres, by the percentage reserved for housing, 5.0 x 10^-5%.
Convert the percentage to a decimal by dividing by 100. This gives you the fraction of the total area that is reserved for housing.
Multiply the total area in acres by the decimal fraction to find the area reserved for housing in acres.
Convert the area from acres to square feet using the conversion factor: 1 acre = 43,560 ft².
Convert the area from square feet to square kilometers. First, convert square feet to square miles using the conversion factor: 1 mile = 5280 ft. Then, convert square miles to square kilometers using the conversion factor: 1 km = 0.6214 miles.
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