What is the mass (in grams) of 1.4x1024 molecules of carbon dioxide?
Question
What is the mass (in grams) of 1.4x1024 molecules of carbon dioxide?
Solution
Sure, here are the steps to calculate the mass of 1.4x10^24 molecules of carbon dioxide (CO2):
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First, we need to know the molar mass of CO2. The molar mass of carbon (C) is approximately 12.01 g/mol, and the molar mass of oxygen (O) is approximately 16.00 g/mol. Since CO2 has one carbon atom and two oxygen atoms, its molar mass is 12.01 g/mol + 2*(16.00 g/mol) = 44.01 g/mol.
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Avogadro's number tells us that there are approximately 6.022x10^23 molecules in one mole.
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Therefore, 1.4x10^24 molecules of CO2 is (1.4x10^24 molecules) / (6.022x10^23 molecules/mol) = 2.32 moles.
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Finally, to find the mass in grams, we multiply the number of moles by the molar mass: (2.32 moles) * (44.01 g/mol) = 102.1 grams.
So, the mass of 1.4x10^24 molecules of CO2 is approximately 102.1 grams.
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