QuestionJune 17, 2025

C_(2)H_(8)N_(2) dimethylhydrazine, rocket fuel Express your answer to four significant figures. square %

C_(2)H_(8)N_(2) dimethylhydrazine, rocket fuel Express your answer to four significant figures. square %
C_(2)H_(8)N_(2) dimethylhydrazine, rocket fuel Express your answer to four significant figures. square %

Solution
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Answer

39.95\%, 13.42\%, 46.63\% Explanation 1. Calculate Molar Mass of C_{2}H_{8}N_{2} Carbon: 2 \times 12.01 = 24.02 g/mol, Hydrogen: 8 \times 1.008 = 8.064 g/mol, Nitrogen: 2 \times 14.01 = 28.02 g/mol. Total molar mass = 24.02 + 8.064 + 28.02 = 60.104 g/mol. 2. Calculate Percent Composition of Each Element Carbon: \frac{24.02}{60.104} \times 100\% = 39.95\%, Hydrogen: \frac{8.064}{60.104} \times 100\% = 13.42\%, Nitrogen: \frac{28.02}{60.104} \times 100\% = 46.63\%.

Explanation

1. Calculate Molar Mass of $C_{2}H_{8}N_{2}$<br /> Carbon: $2 \times 12.01 = 24.02$ g/mol, Hydrogen: $8 \times 1.008 = 8.064$ g/mol, Nitrogen: $2 \times 14.01 = 28.02$ g/mol. Total molar mass = $24.02 + 8.064 + 28.02 = 60.104$ g/mol.<br />2. Calculate Percent Composition of Each Element<br /> Carbon: $\frac{24.02}{60.104} \times 100\% = 39.95\%$, Hydrogen: $\frac{8.064}{60.104} \times 100\% = 13.42\%$, Nitrogen: $\frac{28.02}{60.104} \times 100\% = 46.63\%$.
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