To respond to your question, let's start by identifying the correct chemical reaction that matches the scenario provided in the problem.
The reaction of zinc oxide with carbon can be represented by the balanced equation:
\[ \text{C (s)} + 2 \text{ZnO (s)} \rightarrow 2 \text{Zn (s)} + \text{CO}_2 (g) \]
This shows that 1 mole of carbon reacts with 2 moles of zinc oxide to produce 2 moles of zinc and 1 mole of carbon dioxide.
Answers to the first part:
From the options provided, the two correct choices that represent the scenario in the problem would be:
- C (s) + 2 ZnO (s) → 2 Zn (s) + CO2 (g)
- carbon + zinc oxide → zinc + carbon dioxide (This is a more general representation.)
Answers to the second part:
If you were asked to calculate the mass of zinc oxide needed to react completely with 5.00 moles of carbon, the mole ratio that would suit the calculations is:
2 mol ZnO : 1 mol C
This is because, from the balanced equation, for every 1 mole of carbon, 2 moles of zinc oxide are required. Thus, if you have 5.00 moles of carbon, you would need:
\[ 5.00 , \text{moles C} \times \frac{2 , \text{moles ZnO}}{1 , \text{mole C}} = 10.00 , \text{moles ZnO} \]
This translates to needing 10.00 moles of zinc oxide to react with 5.00 moles of carbon.
Summary:
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Choices for the chemical equation:
- C (s) + 2 ZnO (s) → 2 Zn (s) + CO2 (g)
- carbon + zinc oxide → zinc + carbon dioxide
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Mole ratio suitable for calculations: 2 mol ZnO : 1 mol C.