Final answer:
To find the mass in kilograms of mercury in a barometer, convert volume from cm³ to mL, multiply by the density of mercury to get the mass in grams, and then convert grams to kilograms. The barometer contains 0.99552 kilograms of mercury.
Step-by-step explanation:
The subject of this question is Chemistry, specifically involving a calculation that uses the concept of density to find the mass of mercury in a barometer. To determine how many kilograms of mercury are contained in a barometer that has 73.2 cm³ of mercury, given the density of mercury is 13.6 g/mL, we first need to convert the volume from cm³ to mL, noting that these units are equivalent (1 cm³ = 1 mL). Then, we use the density to convert the volume of mercury to mass. Finally, converting grams to kilograms is necessary to get the answer in the SI unit of mass (kg).
The calculation would look like this:
- 73.2 cm³ of mercury is equal to 73.2 mL, since 1 cm³ equals 1 mL.
- Next, multiply the volume of mercury by its density to find the mass in grams: 73.2 mL × 13.6 g/mL = 995.52 g.
- To convert grams to kilograms, divide by 1000: 995.52 g ÷ 1000 = 0.99552 kg.
Therefore, the barometer contains 0.99552 kilograms of mercury.