A 76.00-pound flask of mercury costs $151.50. 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?
=$1.99
What is the price of one gram of mercury?
=$4.39x10^-3
What is the price of one cubic centimeter of mercury?
What is the price of one cubic inch of mercury?
Thank you!
To find the price of one cubic centimeter of mercury, we need to convert the price of one gram of mercury to the price of one cubic centimeter.
Given that the density of mercury is 13.534 g/cm3 and the price of one gram of mercury is $0.00439, we can use the following formula to find the price of one cubic centimeter:
Price of one cubic centimeter of mercury = (Price of one gram of mercury) / (Density of mercury)
Substituting the values into the formula:
Price of one cubic centimeter of mercury = $0.00439 / 13.534 g/cm3
= $0.00003242389/cm3
≈ $3.24 x 10^-5/cm3
Now, to find the price of one cubic inch of mercury, we need to convert the price of one cubic centimeter of mercury to the price of one cubic inch.
There are approximately 16.3871 cubic centimeters in one cubic inch.
Price of one cubic inch of mercury = (Price of one cubic centimeter of mercury) * (Number of cubic centimeters in one cubic inch)
= $3.24 x 10^-5/cm3 * 16.3871 cm3/in3
≈ $5.32 x 10^-4/in3
Therefore, the price of one cubic inch of mercury is approximately $5.32 x 10^-4.
To find the price of one cubic centimeter of mercury, we need to convert the price per gram to the price per cubic centimeter.
First, we know that the density of mercury is 13.534 g/cm3. This means that for every cubic centimeter of mercury, we have 13.534 grams of mercury.
Next, we divide the price of one gram of mercury by the number of grams in one cubic centimeter:
Price of one cubic centimeter of mercury = Price of one gram of mercury / 13.534
Using the provided values:
Price of one cubic centimeter of mercury = $4.39x10^-3 / 13.534
Price of one cubic centimeter of mercury ≈ $0.00032
To find the price of one cubic inch of mercury, we need to convert the price per cubic centimeter to the price per cubic inch.
Since we know that 1 inch is approximately equal to 2.54 cm, we can use this conversion factor to convert the price of one cubic centimeter of mercury to the price of one cubic inch of mercury.
To do this, we multiply the price of one cubic centimeter of mercury by the conversion factor:
Price of one cubic inch of mercury ≈ Price of one cubic centimeter of mercury * conversion factor
Using the provided value:
Price of one cubic inch of mercury ≈ $0.00032 * 2.54^3
Price of one cubic inch of mercury ≈ $0.00032 * 16.3871
Price of one cubic inch of mercury ≈ $0.00526
Therefore, the price of one cubic inch of mercury is approximately $0.00526.
one pound cost: 151.50/76= ?
one gram cost: one pound cost/453.592
price one cm^3= density Hg*1cc*price per gram
price one cubic inch Hg= price one cc* (2.54^3)