Question

A 76.00 pound flask of mercury costs $130.00. The density of mercury is 13.534 g/cm3. Find the price of one cubic inch of mercury by calculating intermediate values. What is the price of one pound of mercury

Answer 1

To calculate the price of one cubic inch and one pound of mercury, we convert pounds to grams, use the density to find volume in cubic centimeters, convert that to cubic inches, and then divide the total cost by the volume or weight.

Step-by-step explanation:

Calculating the Price of One Cubic Inch of Mercury

To find the price of one cubic inch of mercury, we need to convert the weight of the mercury (76.00 pounds) into grams, then find the volume in cubic centimeters (cm³), and convert that volume to cubic inches. Finally, we'll calculate the price per cubic inch.

First, convert 76.00 pounds to grams:
1 pound = 453.59237 grams, so,
76.00 pounds = 76.00 × 453.59237 grams.

Next, using the density of mercury, which is 13.534 g/cm³, calculate the volume of mercury in cubic centimeters:
Volume = Mass / Density.

Then, convert the volume from cubic centimeters to cubic inches:
1 inch³ = 16.387064 cm³.

Now, we can calculate the price per cubic inch by dividing the total cost by the volume in cubic inches.

Price of One Pound of Mercury

To calculate the price of one pound of mercury, simply divide the total cost by the weight of the mercury (76 pounds):

Price per pound = Total cost / Weight in pounds.

Answer 2

Step-by-step explanation:

a) Find the price of one cubic inch of mercury by calculating 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 3.700 cubic inches of mercury to make one manometer. Find the price of the mercury used to make 19 manometers by first calculating the cost of mercury for one manometer.

• price of one pound of Mercury = cost of flask of mercury / pounds in the flask

= $130 / 76 pounds

= $1.71

price of one pound of Mercury = $1.71

• Price of one gram of mercury

1 pound = 453.6 grams

76 pound = 34473 grams

Price of one gram of mercury = price of mercury per pound / grams in one pound

= $1.71/ 453.6 grams

= $0.00377

Price of one gram of mercury = $0.00377

• Price of one cubic centimeter of mercury

Grams per cubic centimeter = 13.534 g/cm^3

price of one cubic centimeter =

Grams per cubic centimeter × price per grams

= 13.534 g/cm^3 x $0.00377

=$0.051

• Price of one cubic inch

1 cubic inch = 16.387 cubic centimeter

price of one cubic inches= 16.387 cubic centimeter × price per cubic centimeter

= 16.387 cubic centimeter x $0.051

=$ 0.836

(b) price of 3.700 cubic inches = price per cubic inches × 3.700 cubic inches

= $0.836 x 3.7

=$ 3.094

3.700 cubic inches = 1 manometer

price of one manometer = $3.094

Price of 19 manometers = $3.094 x 19

= $ 58.794