One of the topics covered by both the 1689 London Baptist Confession of Faith and the 1647 Westminster Confession of Faith in which there is significant disagreement is the issue of Baptism (see Chapter 29 in the 1689 London Baptist Confession of Faith and Chapter 28 in the Westminster Confession of Faith).
The 1689 London Baptist Confession of Faith Chapter 29 reads:
CHAPTER 29
OF BAPTISM
Paragraph 1. Baptism is an ordinance of the New Testament, ordained by Jesus Christ, to be unto the party baptized, a sign of his fellowship with him, in his death and resurrection; of his being engrafted into him;3 of remission of sins;4 and of giving up into God, through Jesus Christ, to live and walk in newness of life.5
3 Rom. 6:3-5; Col. 2:12; Gal. 3:27
4 Mark 1:4; Acts 22:16
5 Rom. 6:4
Paragraph 2. Those who do actually profess repentance towards God, faith in, and obedience to, our Lord Jesus Christ, are the only proper subjects of this ordinance.6
6 Mark 16:16; Acts 8:36,37, 2:41, 8:12, 18:8
Paragraph 3. The outward element to be used in this ordinance is water, wherein the party is to be baptized, in the name of the Father, and of the Son, and of the Holy Spirit.7
7 Matt. 28:19, 20; Acts 8:38
Paragraph 4. Immersion, or dipping of the person in water, is necessary to the due administration of this ordinance.8
8 Matt. 3:16; John 3:23
Source: https://www.apuritansmind.com/creeds-and-confessions/1689-baptist-confession/
The Westminster Confession of Faith Chapter 28, by contrast, reads:
1. Baptism is a sacrament of the New Testament, ordained by Jesus Christ,a not only for the solemn admission of the party baptized into the visible Church,b but also to be unto him a sign and seal of the covenant of grace,c of his ingrafting into Christ,d of regeneration,e of remission of sins,f and of his giving up unto God, through Jesus Christ, to walk in newness of life:g which sacrament is, by Christ’s own appointment, to be continued in his Church until the end of the world.h
a. Mat 28:19. • b. 1 Cor 12:13. • c. Rom 4:11 with Col 2:11-12. • d. Rom 6:5; Gal 3:27. • e. Titus 3:5. • f. Mark 1:4. • g. Rom 6:3-4. • h. Mat 28:19-20.
2. The outward element to be used in this sacrament is water, wherewith the party is to be baptized in the name of the Father, and of the Son, and of the Holy Ghost, by a minister of the gospel lawfully called thereunto.a
a. Mat 3:11; 28:19-20; John 1:33.
3. Dipping of the person into the water is not necessary; but baptism is rightly administered by pouring or sprinkling water upon the person.a
a. Mark 7:4; Acts 2:41; 16:33; Heb 9:10, 19-22.
4. Not only those that do actually profess faith in and obedience unto Christ,a but also the infants of one or both believing parents are to be baptized.b
a. Mark 16:15-16; Acts 8:37-38. • b. Gen 17:7, 9 with Gal 3:9, 14 and Col 2:11-12 and Acts 2:38-39 and Rom 4:11-12; Mat 28:19; Mark 10:13-16; Luke 18:15; 1 Cor 7:14.
5. Although it be a great sin to contemn or neglect this ordinance,a yet grace and salvation are not so inseparably annexed unto it, as that no person can be regenerated or saved without it,b or that all that are baptized are undoubtedly regenerated.c
a. Luke 7:30 with Exod 4:24-26. • b. Acts 10:2, 4, 22, 31, 45, 47; Rom 4:11. • c. Acts 8:13, 23.
6. The efficacy of baptism is not tied to that moment of time wherein it is administered;a yet, notwithstanding, by the right use of this ordinance the grace promised is not only offered, but really exhibited and conferred by the Holy Ghost, to such (whether of age or infants) as that grace belongeth unto, according to the counsel of God’s own will, in his appointed time.b
a. John 3:5, 8. • b. Acts 2:38, 41; Gal 3:27; Eph 5:25-26; Titus 3:5.
7. The sacrament of baptism is but once to be administered to any person.a
a. Titus 3:5.
Source: https://www.apuritansmind.com/westminster-standards/chapter-28