Final answer:
To find the equilibrium partial pressure of HF in the reaction involving H2 and F2 with given initial conditions and a Kp of 0.450, we use an ICE table and apply the equilibrium expression. By setting up the equation and solving for the variable x which indicates the change in moles, we can then calculate the partial pressure of HF at equilibrium.
Step-by-step explanation:
To determine the equilibrium partial pressure of HF for the reaction H₂(g) + F₂(g) ⇌ 2 HF(g), where the initial partial pressures of H₂ and F₂ are both 6.30 atm, we can use an ICE table and the equilibrium constant (Kp = 0.450). Assuming the volume of the container doesn't change, we start with an ICE table:
- Initial: [H₂] = 6.30 atm, [F₂] = 6.30 atm, [HF] = 0 atm
- Change: [H₂] decreases by x, [F₂] decreases by x, [HF] increases by 2x
- Equilibrium: [H₂] = 6.30-x atm, [F₂] = 6.30-x atm, [HF] = 2x atm
Given that Kp for the reaction is 0.450, apply the equilibrium expression:
Kp = ⁴(HF)² / ([H₂][F₂])
Plugging in the values from the ICE table:
0.450 = (2x)² / ((6.30-x)(6.30-x))
Through algebraic manipulation and solving the quadratic equation, we can find the value of x, which represents the change in moles at equilibrium, and determine the equilibrium partial pressure of HF (2x). Full calculation details require accurate algebraic solution of the quadratic equation.