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hydrogen and oxygen undergo a chemical reaction to form water. how much water would form if 2.56 g of hydrogen reacted completely with 20.32 g of oxygen? ___ g

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Answer:

[tex]\boxed{\text{22.88 g}}[/tex]

Explanation:

This looks like a limiting reactant problem.

We are given the masses of two reactants and asked to determine if we have enough to make a given amount of product.

1. Assemble the information

We will need a balanced equation with masses and molar masses, so let’s gather all the information in one place.  

M_r:           2.016       32.00    18.02

                   2H₂     +     O₂ ⟶ 2H₂O

Mass/g:      2.56        20.32  

2. Calculate the moles of each reactant

[tex]\text{Moles of H$_{2}$} = \text{2.56 g H}_{2} \times \dfrac{\text{1 mol H$_{2}$}}{\text{2.016 g H$_{2}$}} = \text{1.270 mol H$_{2}$}\\\\\text{Moles of O$_{2}$} = \text{20.32 g O}_{2} \times \dfrac{\text{1 mol O$_{2}$}}{\text{32.00 g O$_{2}$}} = \text{0.6350 mol O$_{2}$}[/tex]

3. Calculate the moles of H₂O from each reactant

[tex]\textbf{From H$_{2}$:}\\\text{Moles of H$_{2}$O} =  \text{1.270 mol H$_{2}$} \times \dfrac{\text{2 mol H}_{2}\text{O}}{\text{2 mol H$_{2}$}} = \text{1.270 mol H$_{2}$O}\\\textbf{From O$_{2}$:}\\\text{Moles of H$_{2}$O} =\text{0.6350 mol O$_{2}$} \times \dfrac{\text{2 mol H}_{2}\text{O}}{\text{1 mol O$_{2}$}} = \text{1.270 mol H$_{2}$}\text{O}\\\text{You have just enough hydrogen and oxygen to react with each other.}\\\text{There is no limiting reactant.}[/tex]

4. Calculate the mass of H₂O

[tex]\text{Mass of H$_{2}$O} = \text{Mass of reactants} =\text{2.56 g + 20.32 g } = \textbf{22.88 g}\\\\\text{The mass of water formed is $\boxed{\textbf{22.88 g}}$}[/tex]