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Which amount of sodium hydroxide would react exactly with 7.5 g of a diprotic acid, H₂A (Mₐ = 150)? A 50 cm³ of 0.05 mol dm⁻³ NaOH(aq) B 100 cm³ of 0.50 mol dm⁻³ NaOH(aq) C 100 cm³ of 1.0 mol dm⁻³ NaOH(aq) D 100 cm³ of 2.0 mol dm⁻³ NaOH(aq) - AQA - A-Level Chemistry - Question 6 - 2019 - Paper 3

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Which-amount-of-sodium-hydroxide-would-react-exactly-with-7.5-g-of-a-diprotic-acid,-H₂A-(Mₐ-=-150)?--A-50-cm³-of-0.05-mol-dm⁻³-NaOH(aq)-B-100-cm³-of-0.50-mol-dm⁻³-NaOH(aq)-C-100-cm³-of-1.0-mol-dm⁻³-NaOH(aq)-D-100-cm³-of-2.0-mol-dm⁻³-NaOH(aq)-AQA-A-Level Chemistry-Question 6-2019-Paper 3.png

Which amount of sodium hydroxide would react exactly with 7.5 g of a diprotic acid, H₂A (Mₐ = 150)? A 50 cm³ of 0.05 mol dm⁻³ NaOH(aq) B 100 cm³ of 0.50 mol dm⁻³ Na... show full transcript

Worked Solution & Example Answer:Which amount of sodium hydroxide would react exactly with 7.5 g of a diprotic acid, H₂A (Mₐ = 150)? A 50 cm³ of 0.05 mol dm⁻³ NaOH(aq) B 100 cm³ of 0.50 mol dm⁻³ NaOH(aq) C 100 cm³ of 1.0 mol dm⁻³ NaOH(aq) D 100 cm³ of 2.0 mol dm⁻³ NaOH(aq) - AQA - A-Level Chemistry - Question 6 - 2019 - Paper 3

Step 1

Calculate the amount of substance of the acid

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Answer

To find the amount of substance (in moles) of the diprotic acid, we use the formula:

n=mMn = \frac{m}{M}

where:

  • mm = mass of the acid = 7.5 g
  • MM = molar mass of the acid = 150 g/mol.

Calculating:

n=7.5g150g/mol=0.05moln = \frac{7.5 \, \text{g}}{150 \, \text{g/mol}} = 0.05 \, \text{mol}

Step 2

Determine moles of NaOH needed

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Answer

Since the acid is diprotic, it can donate 2 moles of H⁺ ions for every mole of acid. Thus, for 0.05 moles of the acid, the required moles of NaOH will be:

nNaOH=2×nH2A=2×0.05mol=0.1moln_{NaOH} = 2 \times n_{H₂A} = 2 \times 0.05 \, \text{mol} = 0.1 \, \text{mol}

Step 3

Calculate the volume of NaOH solution required

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Answer

We need to find out which option provides exactly 0.1 moles of NaOH. Using the concentration formula:

C=nVC = \frac{n}{V}

rewriting for volume gives:

V=nCV = \frac{n}{C}

For:

  • Option C: 0.1 mol in 1.0 mol/dm³:

V=0.1mol1.0mol/dm3=0.1dm3=100cm3V = \frac{0.1 \, \text{mol}}{1.0 \, \text{mol/dm}^3} = 0.1 \, \text{dm}^3 = 100 \, \text{cm}^3

This shows that 100 cm³ of 1.0 mol dm⁻³ NaOH(aq) is the correct answer.

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