A 76.00-pound flask of mercury costs $151.50. The density of mercury is 13.534 g/cm3. a) Find the price of one cubic inch of mercury by calculating the following intermediate values.
What is the price of one pound of mercury?
=$1.99
What is the price of one gram of mercury?
=$4.39x10^-3
What is the price of one cubic centimeter of mercury?
What is the price of one cubic inch of mercury?
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To find the price of one cubic centimeter of mercury, we need to convert the density of mercury from g/cm^3 to pounds/inch^3 because we are given the price of one pound of mercury.
Density of mercury = 13.534 g/cm^3
To convert grams to pounds, we can use the conversion factor: 1 pound = 453.592 grams
Density of mercury (in pounds/inch^3) = 13.534 g/cm^3 * (1 pound/453.592 grams) * (1 cm^3/0.0610237 inch^3)
Simplifying the conversion:
Density of mercury (in pounds/inch^3) = 13.534 * (1/453.592) * (0.0610237)
Now, we can calculate the price of one cubic inch of mercury using the given price of one pound of mercury.
Price of one cubic inch of mercury = Price of one pound of mercury * (1 inch^3 / Density of mercury (in pounds/inch^3))
Price of one cubic inch of mercury = $151.50 * (1 / Density of mercury (in pounds/inch^3))
Substituting in the calculated density value:
Price of one cubic inch of mercury = $151.50 * (1 / (13.534 * (1/453.592) * (0.0610237)))
Now, calculate the price of one cubic centimeter of mercury using the price of one cubic inch of mercury.
1 cubic inch = 16.3871 cubic centimeters
Price of one cubic centimeter of mercury = Price of one cubic inch of mercury / 16.3871
Plug in the calculated value of the price of one cubic inch of mercury to get the final answer.