Determine Kp given Reactant Partial Pressure

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We are required to determine the value of equilibrium constant, K_p, given that the equilibrium partial pressure of reactant X is ¹/₇ p.

From the balanced equation we can see that the mole ratio for products Y and Z is 1 to 1.

This means the number of moles of Y and Z produced, and their partial pressures at equilibrium will be the same.

We can add up all the partial pressures of X, Y and Z to find total pressure, which is equal to p since pressure is constant.

Since P_x is ¹/₇ p and P_y = P_z, we can determine P_y = P_z = ³/₇ p

Now that we have determined all the partial pressures at equilibrium, we can write out equilibrium constant K_p and solve for it.

Therefore K_p is calculated to be ⁹/₇ p and option B is our answer.

Topic: Chemical Equilibria, Physical Chemistry, A Level Chemistry, Singapore

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