Aqueous hydrobromic acid HBr
reacts with solid sodium hydroxide NaOH
to produce aqueous sodium bromide NaBr
and liquid water H
2
O
. If 11.2
g
of sodium bromide is produced from the reaction of 26.7
g
of hydrobromic acid and 17.6
g
of sodium hydroxide, calculate the percent yield of sodium bromide.
Round your answer to 3
significant figures
HBr + NaOH → NaBr + H2O
M(HBr) = 80.91 g/mol
"n(HBr) = \\frac{26.7}{80.91} = 0.329 \\;mol"
M(NaOH) = 39.99 g/mol
"n(NaOH) = \\frac{17.6}{39.99} = 0.440 \\;mol"
n(HBr) < n(NaOH)
So, HBr is a limiting reactant.
n(NaBr) = n(HBr) = 0.329 mol
m(NaBr) = 102.89 g/mol
"m(NaBr) = 0.329 \\times 102.89 = 33.85 \\;g"
Proportion:
33.85 – 100 %
11.2 – x
"x = \\frac{11.2 \\times 100}{33.85} = 33.0 \\; \\%"
Answer: 33.0 %
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