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Question

What mass C12 will contain the same number of atoms as in 3.6g if O16?

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Solution

First calculate the number of atoms in 3.6 g of oxygen.No of moles = Given mass in gMolar mass = 3.616 = 0.225 molNo of atoms = Mole × avogadro number = 0.225 × 6.022 × 1023 atomsGiven that, no of atoms of oxygen and carbon are equal.Carbon atom = 0.225 × 6.022 × 1023No of atoms =Mole × avogadro numberMole = No of atoms avogadro number = 0.225 × 6.022 × 10236.022 × 1023 = 0.225 molNo of moles = Given mass in gMolar massMass in g =No of moles × Molar mass = 0.225 × 12 = 2.7 gThus the carbon mass =2.7 g

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