The industrial synthesis of sulfur trioxide is represented by 2 ,SO_2(g) + O_2(g) ;…

CHEMISTRY · Multi-part · AP · Chemistry · Equilibrium · Equilibrium

Problem

The industrial synthesis of sulfur trioxide is represented by 2 SO2(g)+O2(g)  ⇌  2 SO3(g)\mathrm{2\,SO_2(g) + O_2(g)\;\rightleftharpoons\;2\,SO_3(g)} A 10.0 L rigid vessel is filled with an equilibrium mixture at 650 K. The contents of the vessel are analyzed and found to contain 2.50 mol SO2\mathrm{SO_2}, 1.20 mol O2\mathrm{O_2}, and 3.80 mol SO3\mathrm{SO_3}. The total pressure at this temperature is measured to be 1.60 atm. (1) Calculate the equilibrium molar concentration of each species in the vessel. (2) Determine the value of the equilibrium constant KcK_c at 650 K. (3) Using your value of KcK_c, determine the equilibrium constant KpK_p for the reaction at 650 K. Express KpK_p with the correct units or indicate that it is dimensionless.

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