A 76.00-pound flask of mercury costs $150.00. 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. Following intermediate values include grams, cubic centimeters and cubic inch. I have no idea how to even start solving for the solution.
To find the price of one cubic inch of mercury, we need to calculate the intermediate values of grams, cubic centimeters, and cubic inches.
Let's start with the given information:
- The weight of the flask of mercury is 76.00 pounds.
- The density of mercury is 13.534 g/cm³.
To calculate the intermediate values, we'll need to convert the weight of the flask from pounds to grams, and then find the volume of mercury in cubic centimeters.
1. Convert the weight of the flask from pounds to grams:
- Since 1 pound is equal to approximately 453.592 grams, multiply 76.00 pounds by 453.592 to get the weight in grams.
- The weight in grams is 76.00 pounds * 453.592 grams/pound = 34,482.992 grams.
2. Find the volume of mercury in cubic centimeters:
- Divide the weight of the flask in grams by the density of mercury to find the volume in cubic centimeters.
- The volume in cubic centimeters is 34,482.992 grams / 13.534 g/cm³ = 2,548.618 cubic centimeters.
3. Convert the volume from cubic centimeters to cubic inches:
- Since 1 cubic centimeter is equal to approximately 0.061024 cubic inches, divide the volume in cubic centimeters by 0.061024 to get the volume in cubic inches.
- The volume in cubic inches is 2,548.618 cubic centimeters / 0.061024 cubic inches/cm³ = 41,736.352 cubic inches.
Now that we have the intermediate values, we can proceed to find the price of one cubic inch of mercury.
To calculate the price of one cubic inch, divide the total cost ($150.00) by the volume in cubic inches (41,736.352):
Price of one cubic inch = $150.00 / 41,736.352 cubic inches ≈ $0.003589
Therefore, the price of one cubic inch of mercury is approximately $0.003589.