Question

How many kilograms of liquid bromine would fit in a 0.345-gallon container? The density of bromine is 3.119g/mL.

a. 4.67 kg
b. 5.87 kg
c. 6.12 kg
d. 7.21 kg

Answer 1

To find how many kilograms of liquid bromine would fit into a 0.345-gallon container, we convert gallons to liters, then to milliliters, and use the density of bromine to find the mass in grams, then convert this to kilograms. The final answer is approximately 4.072 kilograms.

Step-by-step explanation:

To calculate how many kilograms of liquid bromine would fit in a 0.345-gallon container given that the density of bromine is 3.119 g/mL, we first need to convert the volume from gallons to milliliters (mL), then use the density to find the mass in grams, and finally convert the mass to kilograms.

1. Convert gallons to liters: There are approximately 3.78541 liters in a gallon. So, 0.345 gallon × 3.78541 L/gallon = 1.30597 liters.
2. Convert liters to milliliters: 1.30597 liters × 1000 mL/liter = 1305.97 mL.
3. Calculate the mass in grams: 1305.97 mL × 3.119 g/mL = 4071.92 grams.
4. Convert the mass to kilograms: 4071.92 grams ÷ 1000 = 4.07192 kilograms.

Therefore, the mass of liquid bromine that would fit in a 0.345-gallon container is approximately 4.072 kilograms, meaning the closest answer option is (a) 4.67 kg.