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if 10^21 molecules are removef from 200 mg of CO2 ,then the no of molecules of moles of CO2 left are
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if 10^21 molecules are removef from 200 mg of CO2 ,then the no of mole...
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if 10^21 molecules are removef from 200 mg of CO2 ,then the no of mole...
Understanding the Problem
To find out how many moles of CO2 are left after removing 10^21 molecules from a 200 mg sample, we need to follow some basic steps involving the mole concept.
Step 1: Calculate Initial Moles of CO2
- Molecular weight of CO2 = 12 (C) + 2 * 16 (O) = 44 g/mol
- Convert 200 mg to grams: 200 mg = 0.2 g
- Calculate moles of CO2:
- Moles = Mass (g) / Molar Mass (g/mol)
- Moles of CO2 = 0.2 g / 44 g/mol ≈ 0.004545 moles
Step 2: Convert Moles to Molecules
- Use Avogadro's number (6.022 x 10^23 molecules/mol) to convert moles to molecules:
- Total molecules = Moles * Avogadro's number
- Total molecules = 0.004545 moles * 6.022 x 10^23 molecules/mol ≈ 2.74 x 10^21 molecules
Step 3: Calculate Remaining Molecules After Removal
- Subtract the number of molecules removed from the total number of molecules:
- Remaining molecules = Total molecules - Removed molecules
- Remaining molecules = 2.74 x 10^21 - 10^21 = 1.74 x 10^21 molecules
Step 4: Calculate Remaining Moles of CO2
- Convert the remaining molecules back to moles:
- Remaining moles = Remaining molecules / Avogadro's number
- Remaining moles = 1.74 x 10^21 / 6.022 x 10^23 ≈ 0.00289 moles
Conclusion
After removing 10^21 molecules from 200 mg of CO2, approximately 0.00289 moles of CO2 remain.
To find out how many moles of CO2 are left after removing 10^21 molecules from a 200 mg sample, we need to follow some basic steps involving the mole concept.
Step 1: Calculate Initial Moles of CO2
- Molecular weight of CO2 = 12 (C) + 2 * 16 (O) = 44 g/mol
- Convert 200 mg to grams: 200 mg = 0.2 g
- Calculate moles of CO2:
- Moles = Mass (g) / Molar Mass (g/mol)
- Moles of CO2 = 0.2 g / 44 g/mol ≈ 0.004545 moles
Step 2: Convert Moles to Molecules
- Use Avogadro's number (6.022 x 10^23 molecules/mol) to convert moles to molecules:
- Total molecules = Moles * Avogadro's number
- Total molecules = 0.004545 moles * 6.022 x 10^23 molecules/mol ≈ 2.74 x 10^21 molecules
Step 3: Calculate Remaining Molecules After Removal
- Subtract the number of molecules removed from the total number of molecules:
- Remaining molecules = Total molecules - Removed molecules
- Remaining molecules = 2.74 x 10^21 - 10^21 = 1.74 x 10^21 molecules
Step 4: Calculate Remaining Moles of CO2
- Convert the remaining molecules back to moles:
- Remaining moles = Remaining molecules / Avogadro's number
- Remaining moles = 1.74 x 10^21 / 6.022 x 10^23 ≈ 0.00289 moles
Conclusion
After removing 10^21 molecules from 200 mg of CO2, approximately 0.00289 moles of CO2 remain.
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