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To calculate the number of moles of ozone, we'll use the following steps:
1. Convert kilograms to grams:
3 billion kilograms = 3 x 10^9 kg
1 kg = 1000 g
3 x 10^9 kg
(1000 g / 1 kg) = 3 x 10^12 g
2. Find the molar mass of ozone (O3):
Molar mass of oxygen (O) = 16 g/mol
Molar mass of ozone (O3) = 3
16 g/mol = 48 g/mol
3. Calculate the number of moles:
Moles = Mass / Molar mass
Moles = 3 x 10^12 g / 48 g/mol = 6.25 x 10^10 mol
Therefore, there are approximately 6.25 x 10^10 moles of ozone in the stratosphere.