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A) Give a balanced equation for the reaction.

Chemistry

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Answer

b
39

Step-by-step solution

4 steps

Part a

Give a balanced equation for the reaction.

The reaction is a neutralization between sulphuric acid (H2SO4\text{H}_2\text{SO}_4) and a base XOH\text{XOH}. Sulphuric acid is a diprotic acid, and XOH\text{XOH} is a monobasic base.

H2SO4(aq)+2XOH(s)→X2SO4(aq)+2H2O(l)\text{H}_2\text{SO}_4(\text{aq}) + 2\text{XOH}(\text{s}) \to \text{X}_2\text{SO}_4(\text{aq}) + 2\text{H}_2\text{O}(\text{l})

Part b39

Calculate the relative atomic mass of X.

  1. Calculate the moles of sulphuric acid (H2SO4\text{H}_2\text{SO}_4).

    Moles of H2SO4=Concentration×Volume\text{Moles of H}_2\text{SO}_4 = \text{Concentration} \times \text{Volume} Moles of H2SO4=1mol/dm3×251000dm3=1mol/dm3×0.025dm3=0.025mol\text{Moles of H}_2\text{SO}_4 = 1\text{mol/dm}^3 \times \frac{25}{1000}\text{dm}^3 = 1\text{mol/dm}^3 \times 0.025\text{dm}^3 = 0.025\text{mol}
  2. Use the stoichiometry from the balanced equation to find the moles of XOH\text{XOH}.

    From the equation, 1mol1\text{mol} of H2SO4\text{H}_2\text{SO}_4 reacts with 2mol2\text{mol} of XOH\text{XOH}.

    Moles of XOH=2×Moles of H2SO4=2×0.025mol=0.05mol\text{Moles of XOH} = 2 \times \text{Moles of H}_2\text{SO}_4 = 2 \times 0.025\text{mol} = 0.05\text{mol}
  3. Calculate the molar mass of XOH\text{XOH}.

    Molar mass of XOH=Mass of XOHMoles of XOH\text{Molar mass of XOH} = \frac{\text{Mass of XOH}}{\text{Moles of XOH}} Molar mass of XOH=2.8g0.05mol=56g/mol\text{Molar mass of XOH} = \frac{2.8\text{g}}{0.05\text{mol}} = 56\text{g/mol}
  4. Calculate the relative atomic mass of X.

    The molar mass of XOH\text{XOH} is the sum of the relative atomic masses of X, O, and H.

    Molar mass of XOH=Ar(X)+Ar(O)+Ar(H)\text{Molar mass of XOH} = \text{Ar}(\text{X}) + \text{Ar}(\text{O}) + \text{Ar}(\text{H}) 56=Ar(X)+16+156 = \text{Ar}(\text{X}) + 16 + 1 56=Ar(X)+1756 = \text{Ar}(\text{X}) + 17 Ar(X)=56−17=39\text{Ar}(\text{X}) = 56 - 17 = 39

    The relative atomic mass of X is 39\boxed{39}.

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