Whether an indulgence avails those who are in mortal sin?

Objections

Objection 1 : It would seem that an indulgence avails those who are in mortal sin. For one person can merit grace and many other good things for another, even though he be in mortal sin. Now indulgences derive their efficacy from the application of the saints' merits to an individual. Therefore they are effective in one who is in mortal sin.
Objection 2 : Further, the greater the need, the more room there is for pity. Now a man who is in mortal sin is in very great need. Therefore all the more should pity be extended to him by indulgence.