Arithmetic error

Mathematics

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My calculations for are arithmetically correct based on the values provided in the problem statement for .

For , the problem explicitly states: "The average volume of A used was 22.50 cm3\text{22.50 cm}^{3}." I used this value for VA\text{V}_{A} in my calculations.

While the raw data in , when averaged (even with the identified errors in concordancy), might lead to a slightly different average titre (e.g., 22.55 cm3\text{22.55 cm}^{3} if you average 22.75 cm3\text{22.75 cm}^{3}, 22.50 cm3\text{22.50 cm}^{3}, and 22.40 cm3\text{22.40 cm}^{3}), for , we must use the specific value given in its problem statement, which is 22.50 cm3\text{22.50 cm}^{3}.

Therefore, my calculations for are as follows:

a) (i) Concentration of A in mol/dm3\text{mol/dm}^{3}

Molar mass of NaHSO4=23+1+32+(4×16)=120 g/mol\text{Molar mass of NaHSO}_{4} = \text{23} + \text{1} + \text{32} + (4 \times \text{16}) = \text{120 g/mol} CA=10.6 g/dm3120 g/mol=0.08833 mol/dm3\text{C}_{A} = \frac{\text{10.6 g/dm}^{3}}{\text{120 g/mol}} = \text{0.08833 mol/dm}^{3}

The concentration of A is 0.0883 mol/dm3\boxed{\text{0.0883 mol/dm}^{3}}.

a) (ii) Concentration of B in mol/dm3\text{mol/dm}^{3}
The balanced equation is NaHSO4(aq)+NaOH(aq)⟶Na2SO4(aq)+H2O(l)\text{NaHSO}_{4}\text{(aq)} + \text{NaOH(aq)} \longrightarrow \text{Na}_{2}\text{SO}_{4}\text{(aq)} + \text{H}_{2}\text{O(l)}, so the mole ratio nA:nB\text{n}_{A}:\text{n}_{B} is 1:1\text{1:1}.
Using CA=0.08833 mol/dm3\text{C}_{A} = \text{0.08833 mol/dm}^{3}, VA=22.50 cm3\text{V}_{A} = \text{22.50 cm}^{3}, and VB=25.0 cm3\text{V}_{B} = \text{25.0 cm}^{3}:

CB=CAVAnBVBnA=(0.08833 mol/dm3)×(22.50 cm3)×1(25.0 cm3)×1\text{C}_{B} = \frac{\text{C}_{A}\text{V}_{A}\text{n}_{B}}{\text{V}_{B}\text{n}_{A}} = \frac{(\text{0.08833 mol/dm}^{3}) \times (\text{22.50 cm}^{3}) \times 1}{(\text{25.0 cm}^{3}) \times 1} CB=0.079497 mol/dm3\text{C}_{B} = \text{0.079497 mol/dm}^{3}

The concentration of B is 0.0795 mol/dm3\boxed{\text{0.0795 mol/dm}^{3}}.

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