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H2S, a toxic gas with a rotten egg like smell, is used for the qualitative analysis. If the solubility of H2S in water at STP is 0.195 m, calculate Henry's law constant.

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H2S, a toxic gas with a rotten egg like smell, is used for the qualitative analysis. If the solubility of H2S in water at STP is 0.195 m, calculate Henry's law constant.

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It is given that the solubility of H2S in water at STP is 0.195 m, i.e., 0.195 mol of H2S is dissolved in 1000 g of water.

Moles of water = \(\frac{1000g}{18\;g\;mol^{-1}}\)

= 55.56 mol

∴Mole fraction of H2S, x = \(\frac{Moles\;of\;H_2S}{Moles\;of\;H_2S + Moles\;of\;water}\)

= \(\frac{0.195}{0.195 + 55.56}\)

= 0.0035

At STP, pressure (p) = 0.987 bar

According to Henry's law

p = KHx

⇒ KH = \(\frac{p}{x}\)

= \(\frac{0.987}{0.0035}\)bar

= 282 bar

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