A 76.00-pound flask of mercury costs $159.00. 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 5.000 cubic inches of mercury to make one manometer. Find the price of the mercury used to make 17 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 17 manometers?
Everything
a) To find the price of one cubic inch of mercury, we can follow these steps:
1. Find the price of one pound of mercury:
Divide the cost of the 76.00-pound flask of mercury ($159.00) by 76.00 pounds. This will give us the price of one pound of mercury.
159.00 / 76.00 = $2.09 per pound
2. Find the price of one gram of mercury:
Since there are 453.592 grams in one pound, we can divide the price of one pound of mercury by 453.592 to find the price of one gram.
2.09 / 453.592 ≈ $0.0046 per gram
3. Find the price of one cubic centimeter of mercury:
Since the density of mercury is 13.534 g/cm³, the price of one cubic centimeter of mercury can be calculated by multiplying the price of one gram of mercury by 13.534.
0.0046 x 13.534 = $0.0622 per cubic centimeter
4. Find the price of one cubic inch of mercury:
Since there are 16.3871 cubic centimeters in one cubic inch, we can multiply the price of one cubic centimeter of mercury by 16.3871 to find the price of one cubic inch.
0.0622 x 16.3871 ≈ $1.02 per cubic inch
Therefore, the price of one cubic inch of mercury is approximately $1.02.
b) To find the price of mercury used to make one manometer, we can simply multiply the price of one cubic inch of mercury by 5.000 (the volume of mercury used to make one manometer).
1.02 x 5.000 = $5.10 for one manometer
To calculate the cost of mercury used to make 17 manometers, we can multiply the price for one manometer by 17.
5.10 x 17 = $86.70 for 17 manometers
Therefore, the price of the mercury used to make 17 manometers is $86.70.