Which contains more molecules, 10 g of sulphur dioxide (SO2) or 10 g of oxygen (O2)?(Atomic masses : S = 32 u ; O = 16 u)
Mass of sulphur dioxide = 10g (given)
Molar mass of sulphur dioxide = (1 × 32) + (2 × 16) = 64g
We know that 64g of sulphur dioxide contain 6.022 × 1023 molecules.
Number of molecules in 64g sulphur dioxide = 6.022 × 1023
Number of molecules in 10g sulphur dioxide = 10 × 6.022 × 1023/ 64
Hence, the number of molecules in 10g sulphur dioxide is 9.4× 1022.
Mass of oxygen = 10g (given)
Molar mass of oxygen molecule = (2 × 16) = 32g
Number of molecules in 32g oxygen = 6.022 × 1023
Number of molecules in 10g oxygen = 10 × 6.022 × 1023/ 32
Hence, the number of molecules in 10g oxygen is 18.8 × 1022
Therefore, It is clear that the number of atoms in 10g of oxygen is greater than that in 10g of sulphur dioxide.
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