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Question

What is the number of atoms of hydrogen present in one dozen molecules of hydrogen gas? Convert the given number of hydrogen in terms of moles.

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Solution

A molecule of hydrogen is formed when two atoms of hydrogen combine with each other. Hence, one molecule of hydrogen contains two atoms of hydrogen. Therefore, One molecule of hydrogen = 2 atoms of hydrogen 12 molecules (one dozen) of hydrogen molecules =12×12=24 atoms of hydrogen So, there are 24 atoms of hydrogen in one dozen of hydrogen molecules. Now, one mole of hydrogen contains 6.022×1023 of hydrogen atoms, that is 6.022×1023 atoms of hydrogen = 1 mole of hydrogen So, 24 atoms of hydrogen =24(6.022×1023) moles of hydrogen atom =3.985×10−23 moles of hydrogen atom Now the molar mass of hydrogen is 1 g. This means that there are 6.022×1023 atoms of hydrogen in 1 g of hydrogen. As one mole of any substance contains 6.022×1023 atoms, therefore 1g = 1 mole of H atom Now as the molar mass of H2 molecule is 2g, therefore 2 g of H2 molecule = 1 mole of H2 molecule 1 g of H2 molecule =(12) mole of H2 molecule 24 g of H2 molecule =(242) mole of H2 molecule = 12 moles of H2 molecule.

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