QQuestionChemistry
QuestionChemistry
Calculate the number of nitrogen atoms in a 110.0 g sample of hydrazine (N₂H₄).
Be sure your answer has a unit symbol if necessary, and round it to 4 significant digits.
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Answer
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Step 1:: Find the molar mass of hydrazine (N₂H₄)
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Step 2:: Calculate the number of moles in the sample
To find the number of moles in the 110.0 g sample, divide the mass of the sample by its molar mass:
Step 3:: Find the number of nitrogen atoms in one mole of hydrazine
Since there are two nitrogen atoms in one molecule of N₂H₄, there are 2 nitrogen atoms in one mole of hydrazine: \text{Number of N atoms per mole} = 2
Step 4:: Calculate the number of nitrogen atoms in the sample
To find the number of nitrogen atoms in the sample, multiply the number of moles in the sample by the number of nitrogen atoms per mole: \text{Number of N atoms} = \text{Number of moles} \times \text{Number of N atoms per mole} = 3.432 \text{ moles} \times 2 = 6.864 \text{ moles}
Step 5:: Convert moles of nitrogen atoms to grams
To express the number of nitrogen atoms in grams, multiply the number of moles by the molar mass of nitrogen (14.01 g/mol): \text{Mass of N atoms} = \text{Number of N atoms} \times \text{Molar mass of N} = 6.864 \text{ moles} \times 14.01 \text{ g/mol} \approx 96.22 \text{ g}
Final Answer
The number of nitrogen atoms in the 110.0 g sample of hydrazine is approximately 6.864 moles (rounded to 4 significant digits). In grams, this is about 96.22 g.
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