In 96.0 gm of Sulphur, calculate (i) the number of gram atoms of the

1.	In 96.0 gm of Sulphur, calculate (i) the number of gram atoms of the element, (ii) the number of gram molecules, if a molecule of Sulphur has the formula, S8, (iii) the number of atoms of Sulphur, and (iv) the number of molecules. (At. wt. S = 32, Avogadro's number, N 6.02 x 1023 molecules per mole),
Answer» (i) Atomic weight of Sulphur = 32 1 gm atom of Sulphur = 32 gm \(\therefore\) No. of gram atoms in 96 gm of Sulphur = \(\frac{96}{32}\) = 3 (ii) Molecular weight of S₈ = 32 × = 256 \(\therefore\) No. of gram atoms in 96 gm of sulphur = \(\frac{96}{256}\) = 0.375 (iii) 32 gm (1 gm atom) of Sulphur contain 6.02 × 10²³ atoms. 96 gm of Sulphur contains \(\frac{6.02}{32}\times96\times10^{23}\) = 1.806 × 10²⁴atoms. (iv) 256 gm (1gm molecule) of Sulphur contain 6.02 × 10²³ molecules 96 gm of Sulphur contains \(\frac{6.02}{256}\times96\times10^{23}\) = 2.257 x 10²³ molecules

In 96.0 gm of Sulphur, calculate (i) the number of gram atoms of the element, (ii) the number of gram molecules, if a molecule of Sulphur has the formula, S8, (iii) the number of atoms of Sulphur, and (iv) the number of molecules. (At. wt. S = 32, Avogadro's number, N 6.02 x 1023 molecules per mole),

Answer»

(i) Atomic weight of Sulphur = 32

1 gm atom of Sulphur = 32 gm

\(\therefore\) No. of gram atoms in 96 gm of Sulphur = \(\frac{96}{32}\) = 3

(ii) Molecular weight of S₈ = 32 × = 256

\(\therefore\) No. of gram atoms in 96 gm of sulphur

= \(\frac{96}{256}\) = 0.375

(iii) 32 gm (1 gm atom) of Sulphur contain 6.02 × 10²³ atoms.

96 gm of Sulphur contains \(\frac{6.02}{32}\times96\times10^{23}\)

= 1.806 × 10²⁴atoms.

(iv) 256 gm (1gm molecule) of Sulphur contain 6.02 × 10²³ molecules

96 gm of Sulphur contains \(\frac{6.02}{256}\times96\times10^{23}\)

= 2.257 x 10²³ molecules