This chemistry question involves key chemical concepts and calculations. The detailed solution below walks through each step, from identifying the reaction type to computing the final answer.

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To determine the total volume of residual gases, we first write the balanced chemical equation for the reaction between hydrogen and oxygen:
Step 1: Write the balanced chemical equation. The reaction of hydrogen gas with oxygen gas produces water. Since the temperature is , water will be in its gaseous state (steam).
Step 2: Determine the limiting reactant. According to Gay-Lussac's Law of Combining Volumes, at constant temperature and pressure, the volumes of gaseous reactants and products are in simple whole-number ratios corresponding to the stoichiometric coefficients in the balanced equation. From the equation, 2 volumes of react with 1 volume of .
Given volumes: Volume of Volume of
To react completely with of , the required volume of would be: Since we have of , which is more than the required, oxygen () is the limiting reactant.
Step 3: Calculate the volumes of reactants consumed and products formed.
Step 4: Calculate the volume of residual gases.
The residual gases are the unreacted hydrogen and the water vapor formed.
Step 5: Calculate the total volume of residual gases. Total volume of residual gases = Volume of unreacted + Volume of Total volume of residual gases = .
The total volume of the residual gases is .
The final answer is .
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To determine the total volume of residual gases, we first write the balanced chemical equation for the reaction between hydrogen and oxygen: Step 1: Write the balanced chemical equation.
This chemistry question involves key chemical concepts and calculations. The detailed solution below walks through each step, from identifying the reaction type to computing the final answer.