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Chemistry

Hydrogen sulphide gas burns in oxygen to yield 12.8 g of sulphur dioxide gas as under:

2H2S + 3O2 ⟶ 2H2O + 2SO2

Calculate the volume of hydrogen sulphide at S.T.P. Also, calculate the volume of oxygen required at S.T.P. which will complete the combustion of hydrogen sulphide determined in (litres).

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Answer

2H2S+3O22H2O+2SO22 Vol.3 Vol.2 Vol.2[2(1)+32]3[2(16)]2[32+2(16)]68 g96 g128 g\begin{matrix} 2\text{H}2\text{S} & + &3\text{O}2 & \longrightarrow & 2\text{H}2\text{O} & + & 2\text{SO}2 \ 2\text{ Vol.} && 3\text{ Vol.} && && 2\text{ Vol.} \ 2[2(1) + 32] && 3[2(16)] &&&& 2[32 + 2(16)] \ 68 \text{ g} && 96 \text{ g} &&&& 128 \text{ g} \end{matrix}

128 g of SO2 has volume 2 × 22.4 litres

∴ 12.8 g of SO2 has volume =

2×22.4128\dfrac{2 × 22.4}{128} x 12.8 = 4.48 L

Volume of oxygen = ?

2 × 22.4 L H2S requires = 3 × 22.4 litre of oxygen

∴ 4.48 L H2S will require

3×22.42×22.4\dfrac{3 × 22.4}{2 × 22.4 } x 4.48 = 6.72 L of oxygen.

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