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Henry's law constant for the molality of methane in benzene at 298 K is 4.27 x 10^5 mm Hg. Calculate the solubility of methane in benzene at 298 Kunder 760 mm Hg.

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Henry's law constant for the molality of methane in benzene at 298 K is 4.27 x 105 mm Hg. Calculate the solubility of methane in benzene at 298 Kunder 760 mm Hg.

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Here,

p = 760 mm Hg

kH = 4.27 × 105 mm Hg

According to Henry's law,

p = kHx

⇒ x = \(\frac{p}{k_H}\)

= \(\frac{760\ mm \ Hg}{4.27 \times 10^5 \ mm \ Hg}\)

= 177.99 × 10-5

= 178 × 10-5 (approximately)

Hence, the mole fraction of methane in benzene is 178 × 10-5.

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