A 76.00-pound flask of mercury costs $132.00. 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.
$132/76lb * 13.534g/cm^3 * 16.387cm^3/in^3 * 1lb/453.592g = $0.85/in^3
To find the price of one cubic inch of mercury, we need to calculate the following intermediate values:
1) Convert the weight of the flask from pounds to grams:
76.00 pounds * 453.592 g/pound = 34,473.392 grams
2) Calculate the volume of mercury in the flask in cubic inches:
Since the density of mercury is 13.534 g/cm³, and the weight of the flask is 34,473.392 grams, we can find the volume by dividing the weight by the density.
Volume = weight / density = 34,473.392 g / 13.534 g/cm³
To proceed with the intermediate calculations, we'll need to convert grams to cubic inches.
To find the price of one cubic inch of mercury, we need to go through a series of intermediate calculations:
Step 1: Convert the weight of the flask of mercury from pounds to grams.
To do this, we need to know the conversion factor: 1 pound = 453.592 grams.
Therefore, we can calculate the weight in grams as follows:
Weight in grams = Weight in pounds × Conversion factor
Weight in grams = 76.00 lbs × 453.592 g/lb
Step 2: Convert the weight of the flask of mercury from grams to cubic centimeters.
Since the density of mercury is given in grams per cubic centimeter (g/cm3), we can directly convert grams to cubic centimeters using the density formula:
Volume in cubic centimeters = Weight in grams / Density of mercury
Step 3: Convert the volume from cubic centimeters to cubic inches.
To do this, we need to know the conversion factor: 1 cubic inch = 16.3871 cubic centimeters.
So we can calculate the volume in cubic inches using the following formula:
Volume in cubic inches = Volume in cubic centimeters / Conversion factor
Step 4: Calculate the price per cubic inch.
Finally, to find the price of one cubic inch of mercury, we divide the total cost by the volume in cubic inches.
Price per cubic inch = Total cost / Volume in cubic inches
By following these intermediate steps, we can calculate the price of one cubic inch of mercury.