Final answer:
To calculate the volume of a 2.24 mol/L calcium bromide solution containing 100.0 g of CaBr₂, we first determine the moles of CaBr₂ in 100.0 g, and then use the molarity to find the volume, ensuring the result is in milliliters and rounded to three significant figures.
Step-by-step explanation:
Calculate the Volume of a Calcium Bromide Solution
To find the volume of a 2.24 mol/L calcium bromide (CaBr₂) solution that contains 100.0 g of calcium bromide, we need to first calculate the number of moles of CaBr₂ in the 100.0 g and then use the molarity to find the volume.
The molar mass of CaBr₂ is the sum of the atomic masses of calcium (Ca, approximately 40.08 g/mol) and two bromine (Br) atoms (approx. 79.904 x 2 g/mol), which totals approximately 199.888 g/mol. Therefore, the number of moles of CaBr₂ in 100.0 g is:
moles of CaBr₂ = 100.0 g / 199.888 g/mol
Using the molarity equation (M = moles / volume), we rearrange to solve for volume (volume = moles / M):
volume = (100.0 g / 199.888 g/mol) / 2.24 mol/L
After calculating, ensure that the volume is converted to milliliters and rounded to three significant figures, as recommended for these types of calculations.