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How much copper(II) oxide (CuO) will react with 4.9 g of tetraoxosulphate(VI) acid (H2SO4)?

Chemistry

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Answer

D\text{D}

Step-by-step solution

3 steps

Here's how to calculate the amount of copper(II) oxide (CuO\text{CuO}) that will react with 4.9 g4.9 \, \text{g} of tetraoxosulphate(VI) acid (H2SO4\text{H}_2\text{SO}_4):

  1. Write the balanced chemical equation.

    The reaction between tetraoxosulphate(VI) acid (H2SO4\text{H}_2\text{SO}_4) and copper(II) oxide (CuO\text{CuO}) is:

    H2SO4+CuO→CuSO4+H2O\text{H}_2\text{SO}_4 + \text{CuO} \rightarrow \text{CuSO}_4 + \text{H}_2\text{O}

    This equation is already balanced, showing a 1:11:1 mole ratio between H2SO4\text{H}_2\text{SO}_4 and CuO\text{CuO}.

  2. Calculate the molar masses of the reactants.

    Given atomic masses: Cu=64\text{Cu} = 64, O=16\text{O} = 16, S=32\text{S} = 32, H=1\text{H} = 1.

    Molar mass of H2SO4\text{H}_2\text{SO}_4:

    (2×1)+32+(4×16)=2+32+64=98 g mol−1(2 \times 1) + 32 + (4 \times 16) = 2 + 32 + 64 = 98 \, \text{g mol}^{-1}

    Molar mass of CuO\text{CuO}:

    64+16=80 g mol−164 + 16 = 80 \, \text{g mol}^{-1}
  3. Use stoichiometry to find the mass of CuO\text{CuO}.

    From the balanced equation, 1 mole of H2SO4\text{H}_2\text{SO}_4 reacts with 1 mole of CuO\text{CuO}.
    This means 98 g98 \, \text{g} of H2SO4\text{H}_2\text{SO}_4 reacts with 80 g80 \, \text{g} of CuO\text{CuO}.

    We can set up a proportion to find the mass of CuO\text{CuO} (xx) that reacts with 4.9 g4.9 \, \text{g} of H2SO4\text{H}_2\text{SO}_4:

    Mass of H2SO4Molar mass of H2SO4=Mass of CuOMolar mass of CuO\frac{\text{Mass of } \text{H}_2\text{SO}_4}{\text{Molar mass of } \text{H}_2\text{SO}_4} = \frac{\text{Mass of } \text{CuO}}{\text{Molar mass of } \text{CuO}} 4.9 g98 g mol−1=x g80 g mol−1\frac{4.9 \, \text{g}}{98 \, \text{g mol}^{-1}} = \frac{x \, \text{g}}{80 \, \text{g mol}^{-1}}

    Now, solve for xx:

    x=4.9 g98 g mol−1×80 g mol−1x = \frac{4.9 \, \text{g}}{98 \, \text{g mol}^{-1}} \times 80 \, \text{g mol}^{-1} x=0.05 mol×80 g mol−1x = 0.05 \, \text{mol} \times 80 \, \text{g mol}^{-1} x=4.0 gx = 4.0 \, \text{g}

    The amount of copper(II) oxide that will react is 4.0 g4.0 \, \text{g}.

    The final answer is D\text{D}.

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