QuestionMay 6, 2025

4. How many grams of water are produced with 4.5 mol of N_(2)O square gH2O

4. How many grams of water are produced with 4.5 mol of N_(2)O square gH2O
4. How many grams of water are produced with 4.5 mol of N_(2)O square gH2O

Solution
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Answer

40.5 \, g Explanation 1. Write the balanced chemical equation The decomposition of N_2O produces water and nitrogen gas: 2N_2O \rightarrow 2N_2 + O_2 + H_2O 2. Determine the molar ratio From the equation, 2 moles of N_2O produce 1 mole of H_2O. Thus, the molar ratio is 2:1. 3. Calculate moles of H_2O Using the molar ratio: \text{Moles of } H_2O = \frac{\text{Moles of } N_2O}{2} = \frac{4.5}{2} = 2.25 \text{ moles} 4. Convert moles of H_2O to grams Use **m = n \cdot M**, where M is the molar mass of H_2O (18 \, g/mol): m = 2.25 \cdot 18 = 40.5 \, g

Explanation

1. Write the balanced chemical equation<br /> The decomposition of $N_2O$ produces water and nitrogen gas: <br />$2N_2O \rightarrow 2N_2 + O_2 + H_2O$<br /><br />2. Determine the molar ratio<br /> From the equation, 2 moles of $N_2O$ produce 1 mole of $H_2O$. Thus, the molar ratio is $2:1$.<br /><br />3. Calculate moles of $H_2O$<br /> Using the molar ratio: <br />$\text{Moles of } H_2O = \frac{\text{Moles of } N_2O}{2} = \frac{4.5}{2} = 2.25 \text{ moles}$<br /><br />4. Convert moles of $H_2O$ to grams<br /> Use **$m = n \cdot M$**, where $M$ is the molar mass of $H_2O$ ($18 \, g/mol$): <br />$m = 2.25 \cdot 18 = 40.5 \, g$
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