Final answer:
The equilibrium constant, Kp, for the given reaction is 0.545 atm^-2 at 298.15K.
Step-by-step explanation:
The equilibrium constant, Kp, can be calculated using the partial pressures of the gases involved in the reaction. Since the reaction is represented as HCl(g) + NH3(g) → NH4Cl(s), the equilibrium constant expression would be given as [NH4Cl]/[HCl][NH3].
Given the partial pressures of NH3(g) and HCl(g) are equal and the total partial pressure is 0.200 atm, we can assume that the equilibrium concentrations of NH3 and HCl would also be equal. Let's use the value of 1.75 atm for the equilibrium concentration of NH3.
Using the given expression for the equilibrium constant and substituting the values, we get Kp = (1.75)/(1.75)(1.75) = 0.545 atm-2.