Final answer:
The mass of a 0.22 quart volume of metal with a density of 13.6 g/mL is approximately 2830 g, after converting quarts to milliliters and using the given density to calculate the mass.
Step-by-step explanation:
To find the mass in grams of a 0.22 quart of metal with a density of 13.6 g/mL, we need to use the conversion factor that 1 L equals 1.0567 quarts, and that 1 L equals 1000 mL.
First, convert quarts to milliliters:
0.22 qt × (1 L / 1.0567 qt) × (1000 mL / 1 L) = approximately 208.17 mL
Next, use the density to find the mass:
Mass = volume × density = 208.17 mL × 13.6 g/mL
That gives us a mass of approximately 2831.11 g.
Since the density is given to three significant figures, we should report the final answer to three significant figures as well. Therefore, the mass of the metal is roughly 2830 g, which matches option A.