Questions: In the reaction 2 H2O → 2 H2 + O2, 2.0 mol water will produce how many grams of O2?

Transcript text: In the reaction $2 \mathrm{H}_{2} \mathrm{O} \rightarrow 2 \mathrm{H}_{2}+\mathrm{O}_{2}, 2.0 \mathrm{~mol}$ water will produce how many grams of $\mathrm{O}_{2}$ ?

Solution

Solution Steps

Step 1: Determine the Moles of $ \mathrm{O}_2 $ Produced

The balanced chemical equation for the reaction is:

\[ 2 \mathrm{H}_{2} \mathrm{O} \rightarrow 2 \mathrm{H}_{2} + \mathrm{O}_{2} \]

From the equation, 2 moles of $ \mathrm{H}_2\mathrm{O} $ produce 1 mole of $ \mathrm{O}_2 $. Therefore, 2.0 moles of $ \mathrm{H}_2\mathrm{O} $ will produce:

\[ \frac{2.0 \, \text{mol} \, \mathrm{H}_2\mathrm{O}}{2} = 1.0 \, \text{mol} \, \mathrm{O}_2 \]

Step 2: Calculate the Mass of $ \mathrm{O}_2 $

The molar mass of $ \mathrm{O}_2 $ is calculated as follows:

\[ \text{Molar mass of } \mathrm{O}_2 = 2 \times 16.00 \, \text{g/mol} = 32.00 \, \text{g/mol} \]

Thus, the mass of 1.0 mole of $ \mathrm{O}_2 $ is:

\[ 1.0 \, \text{mol} \times 32.00 \, \text{g/mol} = 32.00 \, \text{g} \]