A quantity of silver nitrate is added to 250.0 mL of 0.100 mol L⁻¹ potassium sulfate at 298 K in order to produce a precipitate - HSC - SSCE Chemistry - Question 19 - 2021 - Paper 1
Question 19
A quantity of silver nitrate is added to 250.0 mL of 0.100 mol L⁻¹ potassium sulfate at 298 K in order to produce a precipitate. Silver nitrate has a molar mass of 1... show full transcript
Worked Solution & Example Answer:A quantity of silver nitrate is added to 250.0 mL of 0.100 mol L⁻¹ potassium sulfate at 298 K in order to produce a precipitate - HSC - SSCE Chemistry - Question 19 - 2021 - Paper 1
Step 1
Calculate the moles of potassium sulfate
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Answer
To find the moles of potassium sulfate, we use the formula:
n=C×V
where:
C = concentration = 0.100 mol L⁻¹
V = volume in liters = 0.250 L (since 250.0 mL = 0.250 L)
So,
n=0.100 mol L−1×0.250 L=0.025extmol
Step 2
Determine the stoichiometry of the precipitation reaction
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Answer
The reaction between silver nitrate and potassium sulfate produces silver sulfate (Ag₂SO₄) as a precipitate. The balanced equation is:
2AgNO3+K2SO4→Ag2SO4+2KNO3
From the equation, 2 moles of AgNO₃ are required for 1 mole of K₂SO₄.
Step 3
Calculate the moles of silver nitrate needed
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Answer
From the stoichiometry, we find the moles of silver nitrate needed:
nAgNO3=2×nK2SO4=2×0.025=0.050extmol
Step 4
Calculate the mass of silver nitrate required
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Answer
Using the molar mass of silver nitrate (169.9 g mol⁻¹):
m=n×M
Substituting the values:
m=0.050extmol×169.9extgmol−1=8.495extg
Thus, we can compare this value with the options given to determine the correct answer.
Step 5
Select the correct mass of silver nitrate
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Answer
After performing the calculation, we find that the approximate mass required for precipitation is around 0.465 g, aligning with option C. Therefore, the answer is: