For example in most litanies the word "us" is used..."Lamb of God who take away the sins of the world have mercy on us." When praying the litany solo can the "us" be replaced by "me" or in other cases replaced by "I"?
Not being greedy or anything of the sort. Just when praying a litany or prayer could/should it reflect on either it being said as part of a group or solo individual?
Thanks
The Doctor of the Church Peter Damian says that even a hermit ought to pray saying "have mercy on us" because we ought to pray for the Church and as a Church. We are not individuals each working out our salvation in isolation but one holy body, with many members. Furthermore you ought to have love for those who are not present. Another example
In the second half of the Angelic Salutation, nobody would dare say "pray for me, a sinner now" but the proper indulgences form is "pray for us sinners now" this is because we are asking Mary to pray for all sinners.
In regard to your question, Jesus is the Lamb of God who takes away the sins of the world. Not just your sins but those of the whole world and so you are praying that Jesus would show mercy to the whole world, not just to you. Blessed are the merciful for they shall obtain mercy. Praying for others is a spiritual work of mercy.
You are a member of the Church and so you must pray as the Church, not just for yourself but for others, that your heart may receive the effusion of divine grace through holy love for mankind.