If 1021molecules are removed from 200mg of CO2, then the number of moles of CO2 left are
Question
If 1021 molecules are removed from 200 mg of CO2, then the number of moles of CO2 left are
Solution
To answer this question, we need to follow these steps:
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First, we need to find the number of moles in 200mg of CO2. The molar mass of CO2 is approximately 44.01 g/mol. So, we convert 200mg to grams which is 0.2g. Then, we divide the mass of the CO2 by its molar mass to find the number of moles.
Number of moles = mass/molar mass = 0.2g / 44.01 g/mol = 0.00454 moles
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Next, we need to find the number of molecules in 0.00454 moles of CO2. We use Avogadro's number (6.022 x 10^23 molecules/mole) for this calculation.
Number of molecules = number of moles x Avogadro's number = 0.00454 moles x 6.022 x 10^23 molecules/mole = 2.73 x 10^21 molecules
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Now, we subtract the 1021 molecules that were removed from the total number of molecules.
Remaining molecules = total molecules - removed molecules = 2.73 x 10^21 molecules - 1021 molecules = 2.73 x 10^21 molecules (since 1021 molecules is negligible compared to 2.73 x 10^21 molecules)
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Finally, we convert the number of remaining molecules back to moles using Avogadro's number.
Remaining moles = remaining molecules / Avogadro's number = 2.73 x 10^21 molecules / 6.022 x 10^23 molecules/mole = 0.00454 moles
So, approximately 0.00454 moles of CO2 are left after removing 1021 molecules.
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