What is the ruling on a student's prayer while in a state of ritual impurity (al-hadath) when compelled to pray, and what is the consequence of his action?

Allah has forbidden prayer for the junub (one in a state of major ritual impurity) until they perform ghusl (full ritual bath), based on His Almighty saying: "O you who have believed, do not approach prayer while you are intoxicated until you know what you are saying or while junub, except for those passing through, until you have washed." (Quran 4:43), and His saying: "And if you are junub, then purify yourselves." (Quran 5:6). The Prophet, peace and blessings be upon him, said: "Allah does not accept the prayer of any one of you if he passes wind until he performs ablution," and "No prayer is accepted without purification." A Muslim must prioritize Allah's pleasure over people's pleasure. The prayer of one in a state of ritual impurity without a legitimate religious excuse is forbidden and invalid, and it must be made up, along with repentance for having performed it.