A sample of an ideal gas undergoes a closed thermodynamic cycle \(A \rightarrow B \rightarrow C \rightarrow A\), as represented in the \(PV\) diagram.

- Process \(A \rightarrow B\) is an isobaric expansion at a constant pressure of \(4.0 \times 10^5 \text{ Pa}\) from an initial volume \(V_A = 2.0 \times 10^{-3} \text{ m}^3\) to a final volume \(V_B = 5.0 \times 10^{-3} \text{ m}^3\).
- Process \(B \rightarrow C\) is an adiabatic expansion during which the gas performs \(900 \text{ J}\) of work on its surroundings.
- Process \(C \rightarrow A\) is an isothermal compression back to state \(A\), during which \(1000 \text{ J}\) of thermal energy is transferred out of the gas.

What is the net heat added to the gas during process \(A \rightarrow B\)?