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10 June, 02:14

A sample of TNT, C7H5N3O6, has 8.94 * 1021 nitrogen atoms. How many hydrogen atoms are there in this sample of TNT?

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  1. 10 June, 03:36
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    1.49*10²² atoms of H are contained in the sample

    Explanation:

    TNT → C₇H₅N₃O₆

    1 mol of this has 7 moles of C, 5 moles of H, 3 moles of N and 6 moles of O

    Let's determine the mass of TNT.

    Molar mass is = 227 g/mol

    As 1 mol has (6.02*10²³) NA atoms, how many moles are 8.94*10²¹ atoms.

    8.94*10²¹ atoms / NA = 0.0148 moles

    So this would be the rule of three to determine the mass of TNT

    3 moles of N are in 227 g of compound

    0.0148 moles of N are contained in (0.0148.227) / 3 = 1.12 g

    Now we can work with the hydrogen.

    227 grams of TNT contain 5 moles of H

    1.12 grams of TNT would contain (1.12.5) / 227 = 0.0247 moles

    Finally let's convert this moles to atoms:

    0.0247 mol. 6.02*10²³ atoms / 1 mol = 1.49*10²² atoms
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