4-A major textile dye manufacturer developed a new yellow dye. The dye has a percent composition of 75.95% X, 17.72% N, and 6.33% H by mass

Question

4-A major textile dye manufacturer developed a new yellow dye. The dye has a percent composition of 75.95% X, 17.72% N, and 6.33% H by mass with a molar mass of about 240 g/mol. Determine the molecular formula of the dye.

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Dâu 5 years 2021-07-18T16:03:54+00:00 1 Answers 69 views 0

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    2021-07-18T16:05:16+00:00

    Answer:

    C₁₅N₃H₅

    Explanation:

    Let’s assume we have 240 g of the dye (1 mol), in that case we’d have:

    • 240 g * 75.95/100 =  182.28 g of C
    • 240 g * 17.72/100 =  42.53 g of N
    • 240 g * 6.33/100 =  15.19 g of H

    Now we convert the masses of each element into moles, using their respective molar masses:

    • 182.28 g C ÷ 12 g/mol = 15.19 mol C ≅ 15
    • 42.53 g N ÷ 14 g/mol = 3.04 mol N ≅ 3
    • 15.19 g C ÷ 1 g/mol = 15.19 mol H ≅ 15

    Thus the molecular formula is C₁₅N₃H₅.

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