100.0-mL of 3.0M hydrobromic acid reacts with 75.0-mL of 3.0M sodium hydroxide to produce a salt and water. Write the balanced equation for this reaction and determine the max amount, in grams, of the salt that can form.
volume of HBr, V = 100.0 mL
= 0.1 L
we have below equation to be used:
number of mol in HBr,
n = Molarity * Volume
= 3*0.1
= 0.3 mol
volume of NaOH, V = 75.0 mL
= 7.5*10^-2 L
we have below equation to be used:
number of mol in NaOH,
n = Molarity * Volume
= 3*0.075
= 0.225 mol
we have the Balanced chemical equation as:
HBr + NaOH ---> NaBr + H2O
1 mol of HBr reacts with 1 mol of NaOH
for 0.3 mol of HBr, 0.3 mol of NaOH is required
But we have 0.225 mol of NaOH
so, NaOH is limiting reagent
we will use NaOH in further calculation
Molar mass of NaBr = 1*MM(Na) + 1*MM(Br)
= 1*22.99 + 1*79.9
= 102.89 g/mol
From balanced chemical reaction, we see that
when 1 mol of NaOH reacts, 1 mol of NaBr is formed
mol of NaBr formed = (1/1)* moles of NaOH
= (1/1)*0.225
= 0.225 mol
we have below equation to be used:
mass of NaBr = number of mol * molar mass
= 0.225*1.029*10^2
= 23.15 g
Answer: 23.15 g
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