Solid ammonium carbmate (NH2CO2NH4) dissociates completely into ammoniaand carbon dioxide when it evaporates:2 2 4 3 2NH CO NH s 2 NH g CO gAt 298 K, the total pressure of the gases in equilibrium with the solid is 3 atm. Calcu-late the value ofequilibrium constant Kp
Question
Solid ammonium carbmate (NH2CO2NH4) dissociates completely into ammoniaand carbon dioxide when it evaporates:2 2 4 3 2NH CO NH s 2 NH g CO gAt 298 K, the total pressure of the gases in equilibrium with the solid is 3 atm. Calcu-late the value ofequilibrium constant Kp
Solution
The equilibrium reaction is given as:
NH2CO2NH4(s) ⇌ 2NH3(g) + CO2(g)
At equilibrium, the total pressure of the gases is 3 atm. Since the reaction produces 2 moles of NH3 for every 1 mole of CO2, we can say that the partial pressures of NH3 and CO2 are 2 atm and 1 atm respectively.
The equilibrium constant Kp is given by the expression:
Kp = (P_NH3)^2 * P_CO2
Substituting the given pressures into this expression gives:
Kp = (2 atm)^2 * 1 atm = 4 atm
Therefore, the equilibrium constant Kp for this reaction at 298 K is 4 atm.
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