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  • Water Production from Sodium Bicarbonate Decomposition: A Stoichiometry Calculation
    To calculate the grams of water produced, we need to use the stoichiometry of the reaction. The balanced chemical equation for the decomposition of NaHCO3 is:

    $$2NaHCO_{3(s)} \longrightarrow Na_2CO_{3(s)} + H_2O_{(g)} + CO_{2(g)}$$

    From the equation, we can see that for every 2 moles of NaHCO3 decomposed, 1 mole of water is produced.

    First, we need to convert the given mass of NaHCO3 to moles:

    $$moles \ of \ NaHCO_3 = 2.10 \ g \ / \ 84 g/mol = 0.025 \ mol$$

    Now, we can use the mole ratio from the balanced equation to determine the moles of water produced:

    $$moles \ of \ H_2O = moles \ of \ NaHCO_3 \times \frac{1 \ mol \ H_2O}{ 2\ mol \ NaHCO_3}= \frac{(0.025 \ mol) (1 \ mol \ H_2O)}{ (2 mol \ NaHCO_3)}=0.0125 \ mol \ H_2O $$

    Finally, we can convert the moles of water back to grams:

    $$grams \ of \ H_2O = moles \ of \ H_2O \times molar \ mass \ of \ H_2O$$

    $$grams \ of \ H_2O=(0.0125 mol)(18 \ g/mol) = 0.225 \ g$$

    Therefore, the decomposition of 2.10 g of NaHCO3 produces 0.225 g of water.

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