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Question 8
A student does an experiment to determine the percentage by mass of sodium chlorate(I), NaClO, in a sample of bleach solution. Method: - Dilute a 10.0 cm³ sample o... show full transcript
Step 1
Answer
Calculate the molarity of Na₂S₂O₃:
Given that 33.50 cm³ of Na₂S₂O₃ solution was used:
M = rac{n}{V} = rac{0.00333 ext{ mol}}{0.03350 ext{ L}} = 0.0999 ext{ mol/L}.
Use the reaction stoichiometry to find moles of NaClO:
From the equation, 2 moles of S₂O₃²⁻ react with 1 mole of ClO⁻:
n(ClO⁻) = rac{n(S₂O₃²⁻)}{2} = rac{0.00333}{2} = 0.001675 ext{ mol}.
Calculate the mass of NaClO:
The molar mass of NaClO is approximately 74.44 g/mol:
ext{mass of NaClO} = n imes ext{molar mass} = 0.001675 ext{ mol} imes 74.44 ext{ g/mol} = 0.124865 ext{ g}.
Find the mass of the original bleach sample:
Given that the diluted bleach solution was 25 cm³ of the original 100 cm³, we can calculate:
ext{mass}_{ ext{bleach}} = ext{density} imes ext{volume} = 1.20 ext{ g/cm}³ imes 100 ext{ cm}³ = 120 ext{ g}.
Calculate the percentage by mass of NaClO in the bleach solution:
rac{ ext{mass of NaClO}}{ ext{mass}_{ ext{bleach}}} imes 100 = rac{0.124865}{120} imes 100 ext{ which equals } 0.10405 ext{ g}.
ext{Final answer: } 0.10405 ext{ % rounded to 3 significant figures gives: } 0.104 %.
Step 2
Answer
The total uncertainty from two readings and an end point error is ± 0.15 cm³.
To find the total percentage uncertainty:
ext{Percentage Uncertainty} = rac{ ext{Total Uncertainty}}{ ext{Reading}} imes 100.
Using the average volume of the burette reading: ext{Assumed average reading} = 50 cm³.
ext{Therefore,}
ext{Percentage Uncertainty} = rac{0.15}{50} imes 100 = 0.30%.
The closest option is 0.45%.
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