Generally, IP in a rodent is similar to IV so first-pass through the liver may be diminished. What fraction is absorbed after gavage, e.g., PO, will mostly see first-pass hepatic elimination. But, there are quite a few caveats in such generalizations. IP ~ IV is less likely as the molecule size increases, i.e., large pepides. Or, some molecules are not cleared rapidly by the liver and some have first-pass clearance by the intestine. Always best to measure blood or plasma exposure with time when comparing two diff routes of admin.
Absolutely, there may be difference in elimination of compound given through IP or PO but depends on absorption rate of compound. Compound will remain for longer time at low concentration for longer time if given orally.
there are a different in elimination rate between the two routes of administration. when give the compound IP it will absorb rabidly to blood stream and become available for excretory organs. Therefor the elimination rate increase. While after given PO it will take longer time to absorb through the gut barrier based on the chemical and physical properties of the material. so the elimination delay