Question

For the reaction PCl_5(g) ⇌ PCl_3(g) + Cl_2(g) at equilibrium, K_p = 321. The equilibrium partial...

For the reaction PCl_5(g) ⇌ PCl_3(g) + Cl_2(g) at equilibrium, K_p = 321. The equilibrium partial pressures of PCl_3 and Cl_2 are 1.43E0 atm and 4.07E0 atm, respectively. What is the equilibrium partial pressure of PCl_5?

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Answer:

Step 1: Explanation

Kp is the equilibrium constant calculated from the partial pressures of a reaction equation. It is used to express the relationship between product pressures and reactant pressures

Step 2: Write the balanced the chemical equation

PCl5 (g) <-----> PCl3 (g) + Cl2 (g)

All value of partial pressure at equilibrium is

PPCl5 =  we need to calculate

PCl3 = 1.40 atm ,

PCl2 = 4.07  atm

Kp =321

Step 3: Calculation of partial pressure of PPCl5

PCl5 (g) <-----> PCl3 (g) + Cl2 (g)

we know, the Kp expression can be written as

Kp = ( PCl3 × PCl2 ) / PPCl5

on substituting the values of partial pressure and Kp

=> 321 = (1.43 atm ) × 4.07 atm ) / PPCl5

=> PPCl5 = (1.43 atm ) × 4.07 atm ) / 321

=>   PPCl5 = ( 5.8201 atm ) / 321

=> PPCl5 = 0.01813 ≈ 1.81E-2

Hence, the equilibrium partial pressure of PCl5 is 1.81E-2 atm ( i.e 1.81×10-2 atm )  

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