The composition of the equilibrium mixture (Cl2$$⇌ $$2Cl), which is attained at $$1200$$°C, is determined by measuring the rate of effusion through a pinhole. It is observed that at $$1.80$$ mm Hg pressure, the mixture effuses $$1.2$$ times as fast as krypton effuses under the same conditions. Calculate the fraction of chlorine molecules dissociated into atoms. (Atomic$$ mass of Kr $$=$$ $$84$$, Cl $$=$$ $$35.5)

Question

The composition of the equilibrium mixture (Cl2$$⇌          $$2Cl), which is attained at $$1200$$°C, is determined by measuring the rate of effusion through a pinhole. It is observed that at $$1.80$$ mm Hg pressure, the mixture effuses $$1.2$$ times as fast as krypton effuses under the same conditions. Calculate the fraction of chlorine molecules dissociated into atoms. (Atomic$$ mass of Kr $$=$$ $$84$$, Cl $$=$$ $$35.5)

Infinity Learn · Accepted Answer

$$rmixrKr=MKrMMix$$ or $$1.2=84M$$∴$$M=70012ForCl2$$⇌           $$2Cl$$   $$1$$                                      $$0$$   (1$$−α$$)                 $$2$$αNormal  molar  massExp.  molar $$mass=1+$$α$$7170012=1+$$α∴α$$=0.217$$ or ≈$$0.22$$

Chemical Equilibrium

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Chemical Equilibrium

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rmixrKr=MKrMMix or 1.2=84M∴M=70012ForCl2⇌ 2Cl 1 0 (1−α) 2αNormal molar massExp. molar mass=1+α7170012=1+α∴α=0.217 or ≈0.22

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