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Chemistry / Chemistry 11 / Chapter 3 / Problem 130P

Chemistry | 11th Edition | ISBN: 9780073402680 | Authors: Raymond Chang

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Solved: The natural abundances of the two stable isotopes

Chapter 3, Problem 130P

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QUESTION:

The natural abundances of the two stable isotopes of hydrogen (hydrogen and deuterium) are \({ }_{1}^{1} H: 99.985\) percent and \({ }_{1}^{2} H: 0.015\) percent. Assume that water exists as either \(\mathrm{H}_{2} \mathrm{O}\) or \(\mathrm{D}_{2} \mathrm{O}\). Calculate the number of \(\mathrm{D}_{2} \mathrm{O}\) molecules in exactly 400 mL of water. (Density = 1.00 g/mL.)

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QUESTION:

The natural abundances of the two stable isotopes of hydrogen (hydrogen and deuterium) are \({ }_{1}^{1} H: 99.985\) percent and \({ }_{1}^{2} H: 0.015\) percent. Assume that water exists as either \(\mathrm{H}_{2} \mathrm{O}\) or \(\mathrm{D}_{2} \mathrm{O}\). Calculate the number of \(\mathrm{D}_{2} \mathrm{O}\) molecules in exactly 400 mL of water. (Density = 1.00 g/mL.)

ANSWER:

Step 1 of 3

The goal of the problem is to calculate the number of molecules in exactly 400 mL of water assuming water exists as either or

Given:

Natural abundance of hydrogen ,

Natural abundance of deuterium,

Let’s calculate the number of molecules assuming water exists as :

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