Why do you persist in citing the Baltimore Catechism as being the definitive expression of Catholic doctrine when it has been explained to you many, many times that the purpose of this Catechism was only to establish initial familiarization with the concepts and language of Catholicism to a juvenile audience? That was a rhetorical question because I know the answer; it is to deceive and to diminish the Church. The actual Catechism of the Catholic Church teaches:
III. THE FINAL PURIFICATION, OR PURGATORY
1030 All who die in God's grace and friendship, but still imperfectly purified, are indeed assured of their eternal salvation; but after death they undergo purification, so as to achieve the holiness necessary to enter the joy of heaven.
1031 The Church gives the name Purgatory to this final purification of the elect, which is entirely different from the punishment of the damned. The Church formulated her doctrine of faith on Purgatory especially at the Councils of Florence and Trent. The tradition of the Church, by reference to certain texts of Scripture, speaks of a cleansing fire:
As for certain lesser faults, we must believe that, before the Final Judgment, there is a purifying fire. He who is truth says that whoever utters blasphemy against the Holy Spirit will be pardoned neither in this age nor in the age to come. From this sentence we understand that certain offenses can be forgiven in this age, but certain others in the age to come.
1032 This teaching is also based on the practice of prayer for the dead, already mentioned in Sacred Scripture: "Therefore Judas Maccabeus] made atonement for the dead, that they might be delivered from their sin." From the beginning the Church has honored the memory of the dead and offered prayers in suffrage for them, above all the Eucharistic sacrifice, so that, thus purified, they may attain the beatific vision of God. The Church also commends almsgiving, indulgences, and works of penance undertaken on behalf of the dead:
Let us help and commemorate them. If Job's sons were purified by their father's sacrifice, why would we doubt that our offerings for the dead bring them some consolation? Let us not hesitate to help those who have died and to offer our prayers for them.
So then Catholic church gave the imprimatur to incorrect doctrine to catechize children .. how infallible of it
Purgatory (Lat., “purgare”, to make clean, to purify) in accordance with Catholic teaching is a place or condition of temporal punishment for those who, departing this life in God’s grace, are, not entirely free from venial faults, or have not fully paid the satisfaction due to their transgressions.
The faith of the Church concerning purgatory is clearly expressed in the Decree of Union drawn up by the Council of Florence (Mansi, t. XXXI, col. 1031), and in the decree of the Council of Trent which (Sess. XXV) defined:
“Whereas the Catholic Church, instructed by the Holy Ghost, has from the Sacred Scriptures and the ancient tradition of the Fathers taught in Councils and very recently in this Ecumenical synod (Sess. VI, cap. XXX; Sess. XXII cap.ii, iii) that there is a purgatory, and that the souls therein are helped by the suffrages of the faithful, but principally by the acceptable Sacrifice of the Altar; the Holy Synod enjoins on the Bishops that they diligently endeavor to have the sound doctrine of the Fathers in Councils regarding purgatory everywhere taught and preached, held and believed by the faithful” (Denzinger, “Enchiridon”, 983).
Further than this the definitions of the Church do not go, but the tradition of the Fathers and the Schoolmen must be consulted to explain the teachings of the councils, and to make clear the belief and the practices of the faithful.
Temporal punishment
That temporal punishment is due to sin, even after the sin itself has been pardoned by God, is clearly the teaching of Scripture. God indeed brought man out of his first disobedience and gave him power to govern all things (Wisdom 10:2), but still condemned him “to eat his bread in the sweat of his brow” until he returned unto dust. God forgave the incredulity of Moses and Aaron, but in punishment kept them from the “land of promise” (Numbers 20:12). The Lord took away the sin of David, but the life of the child was forfeited because David had made God’s enemies blaspheme His Holy Name (2 Samuel 12:13-14). In the New Testament as well as in the Old, almsgiving and fasting, and in general penitential acts are the real fruits of repentance (Matthew 3:8; Luke 17:3; 3:3). The whole penitential system of the Church testifies that the voluntary assumption of penitential works has always been part of true repentance and the Council of Trent (Sess. XIV, can. xi) reminds the faithful that God does not always remit the whole punishment due to sin together with the guilt. God requires satisfaction, and will punish sin, and this doctrine involves as its necessary consequence a belief that the sinner failing to do penance in this life may be punished in another world, and so not be cast off eternally from God.
Catholic encyclopedia sounds a lot like the baltimore catechism huh?
You, inadvertantly I am sure, missed an "adult" Catechism which is in agreement with the "juvenile" Baltimore Catechism albeit with a less wordy version.
Baltimore Catechism
414 Q. What is Purgatory?
A. Purgatory is the state in which those suffer for a time who die guilty of venial sins, or without having satisfied for the punishment due to their sins.
Catechism Of The Catholic Church
1472 To understand this doctrine and practice of the Church, it is necessary to understand that sin has a double consequence. Grave sin deprives us of communion with God and therefore makes us incapable of eternal life, the privation of which is called the "eternal punishment" of sin. *On the other hand every sin, even venial, entails an unhealthy attachment to creatures, which must be purified either here on earth, or after death in the state called Purgatory. This purification frees one from what is called the "temporal punishment" of sin. These two punishments must not be conceived of as a kind of vengeance inflicted by God from without, but as following from the very nature of sin. A conversion which proceeds from a fervent charity can attain the complete purification of the sinner in such a way that no punishment would remain.
* Emphasis mine.
PS. You seemingly overlooked the role of Indulgences to those souls in Purgatory. But I guess that's another story.