Question

A 76 pound flask of mercury cost $134.50. The Density of Mercury is 13.534 g/cm^3.

a) find the price of one cubic inch of mercury by calculating the following intermediate values.

1- What is the price of one pound of Mercury?

2- What is the price of one gram of Mercury?

3- What is the price of one cubic centimeter of Mercury?

4- What is the price of one cubic inch of Mercury

b) It take 4.400 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.

1- What is the price of mercury used to make one manometer?

2- What is the price of mercury used to make 13 manometers?

Answer 1

Consider the given data: Cost of 76 pound of mercury = $134.50 Density of mercury=13.534 g/cm Calculate the cost of one pound of mercury as shown below: Cost of 76 pound of mercury = $134.50 $134.50 Cost of Ipound of mercury = 76 pounds = $1.77 xl pound Hence the cost of one pound of mercury is $1.77 (2) Use the following relation to calculate the price of one gram of mercury: 1 pound = 453.6g Cost of 453.6g of mercury = Cost of 1 pound of mercury = $1.77 $1.77 X1.08 Cost of 1.0 g of mercury =- 453.6g = $0.0039 Hence the cost of 1 g of mercury is $0.0039 Use the following relation to calculate the price of one cm of mercury: Density of mercury = 13.543 g/cm Cost of 1cm' of mercury = Cost of 1g of mercury x 13.543 =$0.0039x13.543 = $0.0528 Thus the price of 1cm' mercury is $0.0528.

Use the following relation to calculate the price of one cubic inch of mercury: 1cm=0.061 cubic inch Cost of 0.061 cubic inch of mercury = Cost of 1 cm of mercury = $0.0528 $0.0528 Cost of 1cubicinch of mercury = – x1.0 cubic inch 0.061 cubic inch = $0.866 Hence the cost of one cubic inch of mercury is $0.866. 1. Calculate the cost of 4.400 cubic inches as shown below: Cost of 1 cubic inch of mercury=$0.866 Cost of 4.400 cubic inch of mercuy=$0.866 x 4.400 = $3.81 4.400 cubic inches of mercury is required to make one manometer therefore, the cost 1 manometer is, Cost of 1 manometer = Cost of 4.40 cubic inches of mercury = $3.81 Thus, the cost of 1 manometer is $3.81). 2. Now, calculate the cost of 13 manometers as shown below: Cost of 13manometers = Cost of imanometer x 13 = $3.81x13 = $ 49.53 Thus, the cost of 13 manometers is $49.53).