The dedication of the firstborn animals creates a unique bond between the Israelites and the priesthood. Once the blood and fat of a pure firstborn animal are offered on the altar, the meat transitions entirely into the possession of the priests. This establishes specific guidelines regarding who may consume the meal and the timeframe allowed for it.
The law encompasses all firstborn animals, granting the priest not only the physically perfect animals suitable for the altar, but also those with blemishes that disqualify them from being sacrificed [תורה תמימה, חזקוני, הכתב והקבלה, רש״ר הירש]. In either case, the meat becomes the absolute property of the priest for consumption, though he is strictly forbidden from shearing the animal or using it for labor [רש״ר הירש]. The physical condition of the animal determines who may participate in the meal. If the animal is unblemished, only a priest fit for temple service may partake. Therefore, a priest who is ritually impure or in a state of mourning is excluded, whereas a priest with a physical blemish may still receive his share [תורה תמימה]. Conversely, if the animal has a blemish, the rules are much more relaxed. The priest is permitted to invite non-priests, and even women who are ritually impure, to join in eating the meat [תורה תמימה, הכתב והקבלה].
The rules governing the firstborn are directly modeled after the peace offerings. This parallel establishes that the meat is not restricted to the priest alone, but may be enjoyed by his wife, his children, and his pure servants [רש״י, רש״ר הירש, ביאור שטיינזלץ]. Furthermore, this comparison dictates the timeframe for consumption, allowing the meat to be eaten over a period of two days and one night, exactly like a peace offering [רש״י, ביאור יש״ר]. Taking a different approach, the comparison highlights the nature of the transaction itself. It emphasizes that the firstborn is a direct gift handed from the Israelite to the priest, much like the thigh of a sacrifice, rather than a portion separated from the parts offered to God's fire on the altar, as is the case with the breast [העמק דבר].
To ensure the priest's rights are fully protected, the guidelines deliberately prevent the firstborn from being mistaken for a thanksgiving offering, which must be consumed within a stricter window of just one day and one night. This guarantees the expanded two-day period [רש״י, ביאור יש״ר, שפתי חכמים, מלבי״ם]. This extended timeframe is also logically sound. A peace offering requires four applications of blood on the altar, whereas the firstborn requires only one. Because the sacrificial requirements for the firstborn are lighter, it is fitting that it receives the more lenient and extended eating period [רלב״ג]. This two-day window is granted as a privilege rather than an obligation; the priest is entirely free to finish the meal sooner and is not required to stretch it over the full two days if he prefers otherwise [גור אריה]. However, this period also serves as a strict boundary. Any meat that remains after the two days and one night have passed is completely disqualified and may no longer be eaten [ריב״א].