Questions: Question 3 6.67 pts Which of the following statements would be correct regarding the following reaction? (there may be multiple correct answers) 2 H2(g) + O2(g) --> 2 H2O(g) - the rate of O2 disappearance is twice the rate of H2 disappearance. - the rate of H2 disappearance is twice the rate of O2 disappearance. - the rate of H2O appearance is equal to the rate of O2 disappearance. - the rate of H2O appearance is twice the rate of O2 disappearance.

Question 3 6.67 pts Which of the following statements would be correct regarding the following reaction? (there may be multiple correct answers) 2 H2(g) + O2(g) --> 2 H2O(g) - the rate of O2 disappearance is twice the rate of H2 disappearance. - the rate of H2 disappearance is twice the rate of O2 disappearance. - the rate of H2O appearance is equal to the rate of O2 disappearance. - the rate of H2O appearance is twice the rate of O2 disappearance.
Transcript text: Question 3 6.67 pts Which of the following statements would be correct regarding the following reaction? (there may be multiple correct answers) \[ 2 \mathrm{H}_{2(\mathrm{~g})}+\mathrm{O}_{2}(\mathrm{~g})-->2 \mathrm{H}_{2} \mathrm{O}(\mathrm{~g}) \] the rate of O 2 disappearance is twice the rate of H 2 disappearance. the rate of H 2 disappearance is twice the rate of O 2 disappearance. the rate of H 2 O appearance is equal to the rate of O 2 disappearance. the rate of H 2 O appearance is twice the rate of O 2 disappearance.
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Solution

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Solution Steps

Step 1: Understand the Reaction Stoichiometry

The given chemical reaction is: \[ 2 \mathrm{H}_{2(\mathrm{~g})} + \mathrm{O}_{2(\mathrm{~g})} \rightarrow 2 \mathrm{H}_{2}\mathrm{O}_{(\mathrm{~g})} \] This reaction shows that 2 moles of hydrogen gas (\(\mathrm{H}_2\)) react with 1 mole of oxygen gas (\(\mathrm{O}_2\)) to produce 2 moles of water vapor (\(\mathrm{H}_2\mathrm{O}\)).

Step 2: Analyze the Rate of Disappearance and Appearance
  • The rate of disappearance of a reactant or appearance of a product is proportional to its stoichiometric coefficient in the balanced chemical equation.
  • For \(\mathrm{H}_2\), the stoichiometric coefficient is 2.
  • For \(\mathrm{O}_2\), the stoichiometric coefficient is 1.
  • For \(\mathrm{H}_2\mathrm{O}\), the stoichiometric coefficient is 2.
Step 3: Evaluate Each Statement

  1. The rate of \(\mathrm{O}_2\) disappearance is twice the rate of \(\mathrm{H}_2\) disappearance.

    • This statement is incorrect. According to the stoichiometry, the rate of \(\mathrm{H}_2\) disappearance is twice the rate of \(\mathrm{O}_2\) disappearance.

  2. The rate of \(\mathrm{H}_2\) disappearance is twice the rate of \(\mathrm{O}_2\) disappearance.

    • This statement is correct. The stoichiometry shows that 2 moles of \(\mathrm{H}_2\) disappear for every 1 mole of \(\mathrm{O}_2\) that disappears.

  3. The rate of \(\mathrm{H}_2\mathrm{O}\) appearance is equal to the rate of \(\mathrm{O}_2\) disappearance.

    • This statement is incorrect. The rate of \(\mathrm{H}_2\mathrm{O}\) appearance is twice the rate of \(\mathrm{O}_2\) disappearance.

  4. The rate of \(\mathrm{H}_2\mathrm{O}\) appearance is twice the rate of \(\mathrm{O}_2\) disappearance.

    • This statement is correct. The stoichiometry shows that 2 moles of \(\mathrm{H}_2\mathrm{O}\) are produced for every 1 mole of \(\mathrm{O}_2\) that disappears.

Final Answer

  • The rate of \(\mathrm{H}_2\) disappearance is twice the rate of \(\mathrm{O}_2\) disappearance: \(\boxed{\text{Correct}}\)
  • The rate of \(\mathrm{H}_2\mathrm{O}\) appearance is twice the rate of \(\mathrm{O}_2\) disappearance: \(\boxed{\text{Correct}}\)
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