(a) What is meant by 'a mole of carbon atoms'?(b) Which has more atoms, 50 g of aluminium or 50 g of iron? Illustrate your answer with the help of calculations.(Atomic masses : Al = 27 u ; Fe = 25 u)
(a) A mole can be defined as the amount of a pure substance containing the same number of atoms, molecules or ions as present in exactly 12g of carbon. This refers to the value of 6.022 × 1023 atoms, molecules or ions of a substance.
Therefore, a mole of carbon atoms refers to a group of 6.022 × 1023 carbon atoms.
(b) Mass of aluminium = 50g
We know that 27g of aluminium contain 6.022 × 1023 aluminium atoms
Number of aluminium atoms in 27g aluminium = 6.022 × 1023
Number of aluminium atoms in 50g aluminium = 50 × 6.022 × 1023/ 27
Hence, 50g aluminium has 11.15 × 1023 atoms.
Mass of iron = 50g
We know that 56g iron contain 6.022 × 1023 atoms
Number of atoms in 56g iron = 6.022 × 1023
Number of atoms in 50g iron = 50 × 6.022 × 1023 / 56
Hence, 50g iron comprises 5.376 × 1023 atoms.
Therefore, more number of atoms is present in 50g aluminium than 50g iron.
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