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)

The molar mass of a compound is the sum of the molar masses of its constituent elements. The molar mass of nitrogen (N) is approximately 14.01 g/mol, and the molar mass of hydrogen (H) is approximately 1.01 g/mol. Since there are two nitrogen atoms and four hydrogen atoms in a molecule of hydrazine, the molar mass of N₂H₄ is: \text{Molar mass of N}_2\text{H}_4 = (2 \times 14.01 \text{ g/mol}) + (4 \times 1.01 \text{ g/mol}) = 28.02 \text{ g/mol} + 4.04 \text{ g/mol} = 32.06 \text{ g/mol}

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:

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.