Final Answer:
The weight percent of Br in the solid sample is approximately 8.42%.
Step-by-step explanation:
Calculate the moles of AgNO3 used:
Moles AgNO3 = Volume × Concentration
Moles AgNO3 = 48.40 mL × 0.048 M
Moles AgNO3 = 0.0023192 g
Separate reactions for AgCl and AgBr:
AgNO3 + NaCl → AgCl + NaNO3 (1 mol AgNO3 reacts with 1 mol Cl-)
AgNO3 + KBr → AgBr + KNO3 (1 mol AgNO3 reacts with 1 mol Br-)
Calculate the moles of Cl- and Br- in the sample:
Moles Cl- = Moles AgNO3 used in reaction 1
Moles Cl- = 0.0023192 g / 143.32 g/mol (molecular weight of AgCl)
Moles Cl- = 0.00001618 mol
Moles Br- = Moles AgNO3 used - Moles Cl- (assuming all remaining AgNO3 reacted with Br-)
Moles Br- = 0.0023192 g - 0.00001618 mol
Moles Br- = 0.00230302 mol
Calculate the weight of Br- and its percentage:
Weight Br- = Moles Br- × Atomic weight of Br
Weight Br- = 0.00230302 mol × 79.904 g/mol
Weight Br- = 0.018411 g
Weight percent Br = (Weight Br- / Weight sample) × 100%
Weight percent Br = (0.018411 g / 0.238 g) × 100%
Weight percent Br ≈ 8.42%
Therefore, the weight percent of Br in the solid sample is approximately 8.42%.