Answer:
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
The number of Hydrogen atoms in the TNT is 1.51×10²² atoms.
We'll begin by calculating the number of mole of nitrogen that contains 8.94×10²¹ atoms of nitrogen.
From Avogadro's hypothesis,
6.02×10²³ atoms = 1 mole of N
Therefore,
8.94×10²¹ atoms = 8.94×10²¹ / 6.02×10²³
8.94×10²¹ atoms = 0.015 mole of N
Next, we shall determine the number of mole of TNT (C₇H₅N₃O₆) that contains 0.015 mole of N
3 moles of N are present in 1 mole of TNT (C₇H₅N₃O₆).
Therefore,
0.015 mole of N will be present in = 0.015 / 3 = 0.005 mole of TNT (C₇H₅N₃O₆).
Next, we shall determine the number of mole of H in 0.005 mole of TNT (C₇H₅N₃O₆).
1 mole of TNT (C₇H₅N₃O₆) contains 5 moles of H.
Therefore,
0.005 mole of TNT (C₇H₅N₃O₆) will contain = 0.005 × 5 = 0.025 mole of H
Finally, we shall determine the number of atoms in 0.025 mole of H.
From Avogadro's hypothesis,
1 mole of H = 6.02×10²³ atoms
Therefore,
0.025 mole of H = 0.025 × 6.02×10²³
0.025 mole of H = 1.51×10²² atoms.
Thus, the number of atoms of Hydrogen in the sample of the TNT is 1.51×10²² atoms.
Learn more about Avogadro's number:
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