What would happen to the volume of liquid in the jar if the mass of the egg increased?

If the mass of the egg increased while it remained submerged in the jar of liquid, the volume of liquid in the jar would not change. This is because the volume of liquid displaced by the egg depends on its volume, not its mass. However, if the egg were to exceed the buoyant force and sink further, it could lead to a slight increase in liquid volume due to additional displacement.