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How many atoms of hydrogen are there in 2.57 to the power -6 grams of hydrogen?

A) 6.02 × 10^23
B) 1.204 × 10^24
C) 3.01 × 10^23
D) 4.812 × 10^24

1 Answer

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Final answer:

To find the number of atoms of hydrogen in 2.57 x 10^-6 grams of hydrogen, divide the given mass by the molar mass of hydrogen and then multiply by Avogadro's number.

Step-by-step explanation:

To find the number of atoms of hydrogen in 2.57 x 10-6 grams of hydrogen, we need to use the concept of Avogadro's number and molar mass. The molar mass of hydrogen is approximately 2 grams per mole. So, first we need to convert the given mass to moles by dividing it by the molar mass:

2.57 x 10-6 grams / 2 grams per mole = 1.28 x 10-6 moles.

Next, we can use Avogadro's number, which is approximately 6.02 x 1023 atoms per mole, to find the number of atoms:

1.28 x 10-6 moles x 6.02 x 1023 atoms per mole = 7.70 x 1017 atoms of hydrogen.

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