A) 76.00-pound flask of mercury costs $151.00. The density of mercury is 13.534
ID: 1022998 • Letter: A
Question
A) 76.00-pound flask of mercury costs $151.00. 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?
What is the price of one gram of mercury?
What is the price of one cubic centimeter of mercury?
What is the price of one cubic inch of mercury?
b) It takes 3.000 cubic inches of mercury to make one manometer. Find the price of the mercury used to make 13 manometers by first calculating the cost of mercury for one manometer.
What is the price of mercury used to make one manometer?
What is the price of mercury used to make 13 manometers?
Explanation / Answer
A). Mass of mercury flask = 76.0 pound
Cost of mercury flask = $ 151.0
Price of one pound of mercury = 151.0 / 76.0
= $ 1.98 per pound
1 pound = 453.59 grams
Cost of 1 pound = $ 1.98
Cost of 1 gram of mercury = 1.98 / 453.59
= $ 0.0043 per grams
Cost of 1 gram = $ 0.0043
Cost of 13.534 g = $ 0.0043 * 13.534
= $ 0.058
But 13.534 grams = 1 cm3
Hence, cost of 1 cm3 = $ 0.058
We know that,
1 cm3 = 0.061 in3
So, cost of 0.061 in3 = $ 0.058
Cost of 1 in3 = 0.058 / 0.061
= $ 0.95 per in3
b). 1 in3 = $ 0.95
3 in3 = 3 * 0.95
= $ 2.85
3 in3 = 1 manometer
Cost of 13 manometer = 13 * 2.85
= $ 37.05
price of mercury used to make one manometer = $ 2.85
price of mercury used to make 13 manometers = $ 37.05
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