Step 1: According to Le Chatelier’s principle, increasing the volume of a system at equilibrium will shift the equilibrium to the side with more moles of gas.
Step 2: In the case of \( N_2(g) + 3H_2(g) \rightleftharpoons 2NH_3(g) \), the left side has 4 moles of gas, and the right side has 2 moles. Therefore, increasing the volume will shift the equilibrium to the right.
Final Answer:
\[
\boxed{N_2(g) + 3H_2(g) \rightleftharpoons 2NH_3(g)}
\]