25.00 mL of a 0.100 M solution of HCl is added to 25.00 mL of a 0.180 M solution of NaOH - VCE - SSCE Chemistry - Question 10 - 2004 - Paper 1
Question 10
25.00 mL of a 0.100 M solution of HCl is added to 25.00 mL of a 0.180 M solution of NaOH.
The concentration of OH⁻(aq) remaining in the solution, in M, is
A. 0.0400
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Worked Solution & Example Answer:25.00 mL of a 0.100 M solution of HCl is added to 25.00 mL of a 0.180 M solution of NaOH - VCE - SSCE Chemistry - Question 10 - 2004 - Paper 1
Step 1
Calculate moles of HCl added
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Answer
The number of moles of HCl can be calculated using the formula:
moles=Molarity×Volume (L)
For HCl:
moles of HCl=0.100M×0.0250L=0.00250moles
Step 2
Calculate moles of NaOH added
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Answer
Similarly, the moles of NaOH are calculated as follows:
For NaOH:
moles of NaOH=0.180M×0.0250L=0.00450moles
Step 3
Determine the limiting reactant
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Answer
Since HCl and NaOH react in a 1:1 molar ratio, we compare the moles:
HCl: 0.00250 moles
NaOH: 0.00450 moles
HCl is the limiting reactant, and it will be completely consumed.
Step 4
Calculate remaining moles of NaOH
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After the reaction, the remaining moles of NaOH can be calculated:
Remaining moles of NaOH=0.00450−0.00250=0.00200moles
Step 5
Calculate total volume of solution
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The total volume of the solution after mixing is:
Total Volume=25.00mL+25.00 mL=50.00 mL=0.0500 L
Step 6
Calculate concentration of remaining OH⁻
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Now we can calculate the concentration of the remaining OH⁻ ions:
Concentration of OH−=Total VolumeRemaining moles of NaOH=0.0500L0.00200moles=0.0400M
Step 7
Final Answer
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Answer
The concentration of OH⁻(aq) remaining in the solution is 0.0400 M, which corresponds to option A.