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, we first need to convert the volume from quarts to liters.
1 quart = 1.057 liters
Now, we can find the mass in grams by multiplying the density of mercury by the volume in liters:
mass (in grams) = density (g/cm^3) * volume (liters)
Since the density is given in g/cm^3 and the volume is given in liters, we need to convert cm^3 to liters:
1 cm^3 = 0.001 liters
So the mass in grams is:
mass (in grams) = density (g/cm^3) * volume (liters) * (1 cm^3 / 0.001 liters)
mass (in grams) = 13.6 g/cm^3 * 1.057 liters * (1 cm^3 / 0.001 liters)
Next, we can convert the mass from grams to pounds.
1 pound = 453.6 grams
mass (in pounds) = mass (in grams) / 453.6 grams/pound
Now, we can substitute the values:
mass (in pounds) = (13.6 g/cm^3 * 1.057 liters * (1 cm^3 / 0.001 liters)) / 453.6 grams/pound
Calculating this expression:
mass (in pounds) = 30.21 pounds