Zevachim 27 - If the Blood was Applied in the Wrong Place
There are many ways to understand this rule. Shmuel said that although the sacrifice is invalid, its owners still receive atonement, based on the phrase, "And I gave you and Altar for atonement", implying all of the Altar. But one may ask that if so, the meat should also be eaten! - Shmuel understands "For atonement" only, not for other purposes.
Resh Lakish agrees with Shmuel if the Kohen applied the blood silently, but if he announced a wrong intent, it is completely invalid. Still, it does not qualify for being cut off.
Rabbi Yochanan says that applying the blood in the wrong place does not count at all.
Art: Zbigniew Tymoszewski - Still Life with a Piece of Meat
