A 76.00-pound flask of mercury costs $151.50. The density of mercury is 13.534 g/cm3. What is the price of one gram of mercury?
1 lb Hg x (151.50/76 lb) = cost of 1 lb.
cost 1 lb x (1g/453.6 g) = cost of 1 g.
To find the price of one gram of mercury, we need to calculate the total mass of mercury in the flask and then divide the total cost by the mass.
First, let's convert the flask's weight from pounds to grams, as the density of mercury is given in grams per cubic centimeter (g/cm³).
1 pound is approximately equal to 453.592 grams.
So, the mass of the flask in grams is:
76.00 pounds * 453.592 grams/pound = 34513.792 grams
Next, we need to calculate the total cost per gram of mercury.
The given cost is for the entire flask of mercury, so we divide the total cost by the mass of the flask.
Price per gram of mercury = Total cost / Total mass
Price per gram of mercury = $151.50 / 34513.792 grams
Now we can calculate the price per gram:
Price per gram of mercury ≈ $0.00439
Therefore, the price of one gram of mercury is approximately $0.00439.