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A gas cylinder contains exactly 15 moles of oxygen gas (O2). How many molecules of oxygen are in the cylinder? 4.01 × 1022 molecules 6.02 × 1023 molecules 9.03 × 1024 molecules 2.89 × 1026 molecules

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JcAlmighty
The answer is 9.03 × 10²⁴ molecules.

Avogadro's number is the number of units (atoms, molecules) in 1 mole of substance.
Make the proportion.
6.02 × 10²³ molecules per 1 mol
x per 15 mol

6.02 × 10²³ molecules : 1 mol = x : 15 mol
x = 6.02 × 10²³ molecules * 15 mol * 1 mol
x = 90.3 × 10²³ molecules
x = 9.03 × 10 × 10²³ molecules
x = 9.03 × 10²³⁺¹ molecules
x = 9.03 × 10²⁴ molecules

A gas cylinder containing 15 moles of oxygen gas has [tex]\rm 9.0345\;\times\;10^2^4[/tex] molecules of oxygen in the cylinder.

The Avogadro number is used for calculating the number of molecules in 1 mole of an object.

Thus, 1 mole of gas = [tex]\rm 6.023\;\times\;10^2^3[/tex] molecules.

So, if 1 mole of oxygen in a gas cylinder contain  [tex]\rm 6.023\;\times\;10^2^3[/tex] molecules of oxygen.

The molecules of oxygen in 15 moles of the oxygen cylinder are:

1 mole = [tex]\rm 6.023\;\times\;10^2^3[/tex] molecules

15 moles = [tex]\rm 15\;\times\;6.023\;\times\;10^2^3[/tex] molecules

15 moles = [tex]\rm 90.345\;\times\;10^2^3[/tex] molecules

15 moles = [tex]\rm 9.0345\;\times\;10^2^4[/tex] molecules.

Thus, a gas cylinder containing 15 moles of oxygen gas has [tex]\rm 9.0345\;\times\;10^2^4[/tex] molecules of oxygen in the cylinder.

For more information, refer to the link:

https://brainly.com/question/20486415

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