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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

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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 ... show full transcript

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)\text{moles} = \text{Molarity} \times \text{Volume (L)}

For HCl: moles of HCl=0.100M×0.0250L=0.00250moles\text{moles of HCl} = 0.100 \: \text{M} \times 0.0250 \: \text{L} = 0.00250 \: \text{moles}

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\text{moles of NaOH} = 0.180 \: \text{M} \times 0.0250 \: \text{L} = 0.00450 \: \text{moles}

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=0.004500.00250=0.00200moles\text{Remaining moles of NaOH} = 0.00450 - 0.00250 = 0.00200 \: \text{moles}

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\text{Total Volume} = 25.00 \, \text{mL} + 25.00 \text{ mL} = 50.00 \text{ mL} = 0.0500 \text{ L}

Step 6

Calculate concentration of remaining OH⁻

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Answer

Now we can calculate the concentration of the remaining OH⁻ ions:

Concentration of OH=Remaining moles of NaOHTotal Volume=0.00200moles0.0500L=0.0400M\text{Concentration of OH}^- = \frac{\text{Remaining moles of NaOH}}{\text{Total Volume}} = \frac{0.00200 \: \text{moles}}{0.0500 \: \text{L}} = 0.0400 \: \text{M}

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.

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