A sample of (N₂H₅)₂C₃H₄O₄ contains 1.084 × 10²⁴ carbon atoms. How many moles of hydrogen atoms are in the sample? Hint: You can't convert directly between atoms of carbon and moles of hydrogen, use an intermediary unit.

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The compound (N₂H₅)₂C₃H₄O₄ contains 4 hydrogen atoms per formula unit. First, calculate the number of moles of carbon atoms using Avogadro's number (6.022 × 10²³ atoms/mol): 1.084 × 10²⁴ carbon atoms / 6.022 × 10²³ atoms/mol = 1.8 moles of carbon. Since there are 3 carbon atoms per formula unit, there are 1.8 / 3 = 0.6 moles of the compound. Each formula unit contains 10 hydrogen atoms, so there are 0.6 moles × 10 = 6 moles of hydrogen atoms. However, the correct calculation should consider the total hydrogen atoms in the compound, leading to 8.4 moles of hydrogen atoms.

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A Sample of (N₂H₅)₂C₃H₄O₄ Contains 1