4. Mercury is the only metal which is a liquid at room temperature. The density of mercury is 13.6 g/cm3. What is the mass, in pounds, of 1.00 quart of mercury? [1 liter = 1.057 quart; 1 pound = 453.6 grams]
To find the mass of 1.00 quart of mercury in pounds, we need to convert the given density from grams per cubic centimeter (g/cm3) to pounds per quart (lb/qt).
First, determine the volume of 1.00 quart in cubic centimeters.
1 liter is equal to 1.057 quarts, so 1.00 quart is equal to 1.00/1.057 = 0.946 liters.
Since 1 liter is equal to 1000 cubic centimeters, 0.946 liters is equal to 1000 x 0.946 = 946 cubic centimeters.
Next, compute the mass of 946 cubic centimeters of mercury using the given density.
The density is 13.6 g/cm3, so the mass of 946 cubic centimeters of mercury is 13.6 x 946 = 12,881.6 grams.
Finally, convert the mass from grams to pounds using the given conversion factor.
1 pound is equal to 453.6 grams, so 12,881.6 grams is equal to 12,881.6/453.6 = 28.4 pounds.
Therefore, the mass of 1.00 quart of mercury is 28.4 pounds.