If 1021molecules are removed from 200mg of CO2, then the number of moles of CO2 left are
Question
If 1021molecules are removed from 200mg of CO2, then the number of moles of CO2 left are
Solution 1
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.
Solution 2
To answer this question, we first need to know the number of molecules in 200mg of CO2.
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Calculate 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 12.01g/mol + 2(16.00g/mol) = 44.01 g/mol.
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Convert the mass of CO2 from mg to g: 200 mg = 0.2 g
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Calculate the number of moles in 0.2 g of CO2: Moles = mass/molar mass = 0.2 g / 44.01 g/mol = 0.00454 moles
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Calculate the number of molecules in 0.00454 moles of CO2: We use Avogadro's number, which states that one mole of any substance contains 6.022 x 10^23 molecules. So, 0.00454 moles of CO2 contains 0.00454 moles x 6.022 x 10^23 molecules/mole = 2.73 x 10^21 molecules.
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Subtract the number of removed molecules from the total number of 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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Convert the number of molecules back to moles: Moles = number of molecules / Avogadro's number = 2.73 x 10^21 molecules / 6.022 x 10^23 molecules/mole = 0.00454 moles
So, after removing 1021 molecules, there are approximately 0.00454 moles of CO2 left.
Solution 3
To answer this question, we first need to understand a few basic concepts in chemistry:
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Molar Mass: The molar mass of a substance is the mass of one mole of that substance. For CO2, the molar mass is approximately 44.01 g/mol (12.01 g for one mole of Carbon and 32 g for two moles of Oxygen).
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Avogadro's Number: This is the number of entities (like atoms or molecules) in one mole of a substance. It is approximately 6.022 x 10^23.
Now, let's solve the problem:
Step 1: Convert the mass of CO2 from mg to g. 200 mg = 0.2 g
Step 2: Calculate the number of moles in 0.2 g of CO2. Number of moles = mass / molar mass = 0.2 g / 44.01 g/mol = 0.00454 mol
Step 3: Calculate the number of molecules in 0.00454 mol of CO2. Number of molecules = number of moles x Avogadro's number = 0.00454 mol x 6.022 x 10^23 = 2.73 x 10^21 molecules
Step 4: Subtract the number of removed molecules from the total number of molecules. Number of molecules left = 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)
Step 5: Convert the number of molecules left back to moles. Number of moles left = number of molecules left / Avogadro's number = 2.73 x 10^21 molecules / 6.022 x 10^23 = 0.00454 mol
So, approximately 0.00454 moles of CO2 are left.
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