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Question

Calculate the number of molecules in 11g of CO2.


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Solution

Step 1: Calculate the number of moles.

  • The number of moles can be calculated by using the formula:

Numberofmoles=GivenmassMolarmass

  • According to the question, the given mass is 11g and the molecular mass can be calculated as:

MolecularmassofCO2=(1×C)+(2×O)=(1×12)+(2×16)=44gmol-1

  • Thus, the number of moles of CO2 are 11g44gmol-1=0.25moles

Step 2: Calculate the number of molecules.

  • We know that one mole of any substance contains 6.023×1023 molecules
    Thus, the number of molecules in any material may be calculated by multiplying the number of moles by Avogadro's number, which is 6.023×1023.
  • We can state:
    Numberofmolecules=numberofmoles×6.023×1023
  • Thus, the number of molecules in 11g of CO2 are =0.25×6.023×1023=1.505×1023

So, the number of molecules in 11g of CO2 are 1.505×1023.


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