Problem 2:
A reaction between hydrogen gas and oxygen gas produces water . If 5 moles of hydrogen react with 2 moles of oxygen, how many moles of water will be produced? Write the balanced chemical equation for the reaction.

Ask by Davison Elliott. in Hong Kong

Mar 28,2025

Question

Problem 2:
A reaction between hydrogen gas and oxygen gas produces water . If 5 moles of hydrogen react with 2 moles of oxygen, how many moles of water will be produced? Write the balanced chemical equation for the reaction.

Ask by Davison Elliott. in Hong Kong

Mar 28,2025

UpStudy AI · Accepted Answer

**Balanced Chemical Equation:**

$$
2\mathrm{H}_2 + \mathrm{O}_2 \to 2\mathrm{H}_2\mathrm{O}
$$

**Step-by-Step Solution:**

1. **Identify the Limiting Reactant:**

- According to the balanced equation, $$2$$ moles of $$\mathrm{H}_2$$ react with $$1$$ mole of $$\mathrm{O}_2$$.
   - Given $$5$$ moles of $$\mathrm{H}_2$$, the moles of $$\mathrm{O}_2$$ needed would be:
     
     $$
     \text{Moles of } \mathrm{O}_2\text{ needed} = \frac{1 \text{ mole } \mathrm{O}_2}{2 \text{ moles } \mathrm{H}_2} \times 5 \text{ moles } \mathrm{H}_2 = 2.5 \text{ moles } \mathrm{O}_2
     $$
     
   - Only $$2$$ moles of $$\mathrm{O}_2$$ are available. Therefore, $$\mathrm{O}_2$$ is the limiting reactant.

2. **Calculate the Moles of Water Produced:**

- According to the balanced equation, $$1$$ mole of $$\mathrm{O}_2$$ produces $$2$$ moles of $$\mathrm{H}_2\mathrm{O}$$.
   - With $$2$$ moles of $$\mathrm{O}_2$$ available:
     
     $$
     \text{Moles of } \mathrm{H}_2\mathrm{O} = 2 \text{ moles } \mathrm{O}_2 \times \frac{2 \text{ moles } \mathrm{H}_2\mathrm{O}}{1 \text{ mole } \mathrm{O}_2} = 4 \text{ moles } \mathrm{H}_2\mathrm{O}
     $$

**Answer:** $$4$$ moles of water will be produced.
4 moles of water will be produced.

Problem 2:
A reaction between hydrogen gas and oxygen gas produces water . If 5 moles of hydrogen react with 2 moles of oxygen, how many moles of water will be produced? Write the balanced chemical equation for the reaction.

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Problem 2: A reaction between hydrogen gas and oxygen gas produces water . If 5 moles of hydrogen react with 2 moles of oxygen, how many moles of water will be produced? Write the balanced chemical equation for the reaction.

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Problem 2:
A reaction between hydrogen gas and oxygen gas produces water . If 5 moles of hydrogen react with 2 moles of oxygen, how many moles of water will be produced? Write the balanced chemical equation for the reaction.