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76.00-pound flask of mercury costs $151.00. The density of mercury is 13.534 g/c

ID: 520736 • Letter: 7

Question

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

Price of one pound of mercury = 130 / 76 = 1.7105$
1 lb = 453.592 gm
Price of one gram of mercury = 1.71 / 453.592 = 0.00377$
Price of one cm3 of mercury = 13.534 gm/cm3 * 0.00377 = 0.05103$
1 inch3 = 16.387 cm3
Price of one inch3 of mercury = 16.387 *0.05103 = 0.8362$
b) Price of 3 inch3 mercury = 0.8362 * 3 = 2.5086$
price of mercury used to make one manometer = 2.5086$
price of mercury to make 13 such manometers = 13*2.5086 = 32.6129$

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