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Chemistry

Zinc blende [ZnS] is roasted in air. Calculate :

(a) The number of moles of sulphur dioxide liberated by 776 g of ZnS and

(b) The weight of ZnS required to produce 22.4 lits. of SO2 at s.t.p. [S = 32, Zn = 65, O = 16]

Stoichiometry

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Answer

ZnS65+32=97 g+O2SO21 mole\underset{65 + 32 = 97 \text{ g}}{\text{ZnS}} + \text{O}2 \longrightarrow \underset{1 \text{ mole}}{\text{SO}2}

97 g of ZnS gives 1 mole of SO2

∴ 776 g of ZnS will give 197\dfrac{1}{97} x 776 = 8 moles of SO2

Hence, 8 moles of sulphur dioxide is liberated by 776 g of ZnS

(ii)

ZnS65+32=97 g+O2SO21 mole\underset{65 + 32 = 97 \text{ g}}{\text{ZnS}} + \text{O}2 \longrightarrow \underset{1 \text{ mole}}{\text{SO}2}

97 g of ZnS liberates 1 mole of SO2

As 1 mole occupies 22.4 lit volume at s.t.p.

∴ 22.4 lit of SO2 is produced by 97 g of ZnS.

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