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Chemistry

Calculate the number of :

(i) molecules [S = 32]

(ii) atoms in 192 g. of sulphur. [S8]

Mole Concept

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Answer

(i) 1 mole of any substance contains 6.023 x 1023 number of molecules.

S8 = 8 atoms = 8 x 32 = 256.

256 g = 6.023 x 1023 number of molecules

So, 192 g will have

=6.023×1023256×192=192256×6.023×1023=0.75×6.023×1023 molecules= \dfrac{6.023 \times 10^{23}}{256} \times 192 \\[0.5em] = \dfrac{192}{256} \times 6.023 \times 10^{23} \\[0.5em] = 0.75 \times 6.023 \times 10^{23} \text { molecules} \\[0.5em]

(ii) Gram atomic mass of S = 32 g

32 g of S has 6.023 x 1023 number of atoms

Therefore, 192 g will have

=6.023×102332×192=19232×6.023×1023=6×6.023×1023 atoms= \dfrac{6.023 \times 10^{23}}{32} \times 192 \\[0.5em] = \dfrac{192}{32} \times 6.023 \times 10^{23} \\[0.5em] = 6 \times 6.023 \times 10^{23} \text { atoms} \\[0.5em]

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