A sample of \(\text{COCl}_2\text{(g)}\) decomposes in a rigid, sealed \(1.0\text{ L}\) container at a constant temperature according to the equation below.

\[ \text{COCl}_2\text{(g)} \rightleftharpoons \text{CO(g)} + \text{Cl}_2\text{(g)} \]

At equilibrium, the partial pressures of the gases are \(P_{\text{COCl}_2} = 0.20\text{ atm}\), \(P_{\text{CO}} = 0.40\text{ atm}\), and \(P_{\text{Cl}_2} = 0.40\text{ atm}\). An additional \(0.40\text{ atm}\) of \(\text{Cl}_2\text{(g)}\) is injected into the container at the same temperature. Which of the following correctly gives the value of the reaction quotient, \(Q_p\), immediately after the addition of \(\text{Cl}_2\text{(g)}\) and predicts the direction of the net reaction as equilibrium is re-established?