Whether the aforesaid works avail for the mitigation of the pains of hell?

Objections

Objection 1 : It would seem that the aforesaid works do not avail for the mitigation of the pains of hell. For the measure of punishment in hell will answer to the measure of guilt. But works done without charity do not diminish the measure of guilt. Neither, therefore, do they lessen the pains of hell.
Objection 2 : Further, the pain of hell, though infinite in duration, is nevertheless finite in intensity. Now anything finite is done away with by finite subtraction. If therefore works done without charity canceled any of the punishment due for sins, those works might be so numerous, that the pain of hell would be done away with altogether: which is false.
Objection 3 : Further, the suffrages of the Church are more efficacious than works done without charity. But, according to Augustine (Enchiridion cx), "the suffrages of the Church do not profit the damned in hell." Much less therefore are those pains mitigated by works done without charity.