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Calculate the amount of hydrogen gas produced when 1.96 g of zinc reacts with 100 cm3 of 0.2 M HCl.

Chemistry

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Answer

Zinc\text{Zinc}

Step-by-step solution

3 steps
  1. Calculate the moles of zinc (Zn\text{Zn}).

    The molar mass of zinc (Zn\text{Zn}) is 65.4 g/mol.

    Moles of Zn=Mass of ZnMolar mass of Zn\text{Moles of Zn} = \frac{\text{Mass of Zn}}{\text{Molar mass of Zn}} Moles of Zn=1.96 g65.4 g/mol\text{Moles of Zn} = \frac{1.96 \text{ g}}{65.4 \text{ g/mol}} Moles of Zn≈0.02997 mol\text{Moles of Zn} \approx 0.02997 \text{ mol}
  2. Calculate the moles of hydrochloric acid (HCl\text{HCl}).

    The volume of HCl\text{HCl} is 100 cm3^3, which is 0.100 L. The concentration is 0.2 M.

    Moles of HCl=Concentration×Volume (in L)\text{Moles of HCl} = \text{Concentration} \times \text{Volume (in L)} Moles of HCl=0.2 mol/L×0.100 L\text{Moles of HCl} = 0.2 \text{ mol/L} \times 0.100 \text{ L} Moles of HCl=0.020 mol\text{Moles of HCl} = 0.020 \text{ mol}
  3. Determine the limiting reagent using the stoichiometric ratio.

    The balanced chemical equation is:

    Zn(s)+2HCl(aq)→ZnCl2(aq)+H2(g)\text{Zn(s)} + 2\text{HCl(aq)} \rightarrow \text{ZnCl}_2\text{(aq)} + \text{H}_2\text{(g)}

    From the equation, 1 mole of Zn\text{Zn} reacts with 2 moles of HCl\text{HCl}.

    Let's determine how much HCl\text{HCl} is needed to react with the available Zn\text{Zn}:

    Moles of HCl needed=Moles of Zn×2 mol HCl1 mol Zn\text{Moles of HCl needed} = \text{Moles of Zn} \times \frac{2 \text{ mol HCl}}{1 \text{ mol Zn}} Moles of HCl needed=0.02997 mol Zn×2\text{Moles of HCl needed} = 0.02997 \text{ mol Zn} \times 2 Moles of HCl needed≈0.05994 mol HCl\text{Moles of HCl needed} \approx 0.05994 \text{ mol HCl}

    We have 0.020 mol of HCl\text{HCl}, which is less than the 0.05994 mol needed. Therefore, HCl\text{HCl} is the limiting reagent, and Zn\text{Zn} is in excess.

    Alternatively, let's determine how much Zn\text{Zn} is needed to react with the available HCl\text{HCl}:

    Moles of Zn needed=Moles of HCl×1 mol Zn2 mol HCl\text{Moles of Zn needed} = \text{Moles of HCl} \times \frac{1 \text{ mol Zn}}{2 \text{ mol HCl}} Moles of Zn needed=0.020 mol HCl×12\text{Moles of Zn needed} = 0.020 \text{ mol HCl} \times \frac{1}{2} Moles of Zn needed=0.010 mol Zn\text{Moles of Zn needed} = 0.010 \text{ mol Zn}

    We have 0.02997 mol of Zn\text{Zn}, which is more than the 0.010 mol needed. Therefore, Zn\text{Zn} is in excess.

    The reagent that was in excess is Zinc\text{Zinc}.

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