Step 1: Read what the question wants.
We have to pick the condition that describes an isobaric process. The word may look heavy, but it just hides a simple idea.
Step 2: Break the word into pieces.
The prefix 'iso' means 'same' and 'baric' comes from pressure. So 'isobaric' simply means the pressure stays the same all through the change.
Step 3: Turn 'same pressure' into a symbol.
If the pressure does not change at all, then the change in pressure is zero. In symbols that is $\Delta P = 0$.
Step 4: Check the other options so we are sure.
$Q = 0$ means no heat goes in or out, which is an adiabatic process, not ours.
Step 5: Knock out two more.
$\Delta T = 0$ means the temperature stays fixed, that is an isothermal process. And $\Delta V = 0$ means the volume stays fixed, that is an isochoric process.
Step 6: Pick the survivor.
Only $\Delta P = 0$ keeps the pressure constant, so that is our isobaric condition.
\[ \boxed{\Delta P = 0} \]