A 76.00-pound flask of mercury costs $153.50. The density of mercury is 13.534 g

Question

A 76.00-pound flask of mercury costs $153.50. 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? Number What is the price of one gram of mercury? Number What is the price of one cubic centimeter of mercury? Number What is the price of one cubic inch of mercury? continued below... Number $ 0 b) It takes 4.900 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? Number continued below... What is the price of mercury used to make 13 manometers? Number

Explanation / Answer

Mass of mercury = 76 lb

Cost of mercury = $153.50

Density of mercury = 13.534 g/cm3

Part a

1) price of mercury of 1 lb = $153.50/76lb = $2.0197

2) price of mercury of 1 g = ($153.50/76lb) x (1lb/453.592g)

= $0.00445

3) volume of mercury =(76lb x 453.592g/lb) /(13.534 g/cm3)

= 2547.1399 cm3

Price of 1 cm3 of mercury = $153.50/2547.1399 cm3

= $0.06026

4) volume of mercury in inch3

= 2547.1399 cm3 x (1in/2.54 cm)3

= 155.436 in3

Price of 1 in3 of mercury = $153.50/155.436 in3

= $0.9875

Part b

1) 4.9 in3 makes = 1 manometer

Cost of mercury in 1 manometer = ($0.9875/in3) x 4.9in3

= $4.83875

2)

Cost of mercury in 13 manometer = $4.83875 x 13 = $62.9

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