Question 5.SP.23: Using the balanced equation, N2(g) + O2(g) → 2NO(g), determi...

Using the balanced equation, N_{2}(g) + O_{2}( g) \longrightarrow  2NO( g) , determine the limiting reactant when 10.0 g of N_{2}  (molar mass 28.02 g/mol) react with 10.0 g of  O_{2}  (molar mass 32.00 g/mol).

Convert the number of grams to the number of moles for each reactant, and then use the steps in  Sample Problem 5.21 to determine the limiting reactant.

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[1] Convert the number of grams of each reactant to the number of moles using   the molar masses.

\begin{matrix} \text{Moles of }N_{2} : & & 10.0 \cancel{g}\enspace N_{2} & \times & \frac{\text{1 mol}\enspace N_{2}}{28.02 \cancel{g} \enspace N_{2}} &=& \text{0.357 mol }N_{2}\\ \\ \text{Moles of }O_{2} : & & 10.0 \cancel{g}\enspace O_{2} & \times & \frac{\text{1 mol}\enspace O_{2}}{32.00 \cancel{g} \enspace O_{2}} &=& \text{0.313 mol }O_{2} \end{matrix}

[2] Determine the limiting reactant as in Sample Problem 5.21.
• Identify N_{2} as the original quantity and use the mole ratio from the alanced equation as a conversion factor to calculate how much O_{2} is needed for complete reaction.

\begin{matrix} & &&& \text{mole–mole conversion factor} \\ \\ & & 0.357 \cancel{mol} N_{2} & \times & \frac{\text{1 mol} O_{2}}{1 \cancel{mol} N_{2}} &=& \text{0.357 mol }O_{2} \enspace needed \end{matrix}

• Since the amount of O_{2} present is less than what is needed, O_{2} is the limiting reactant.

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