Hebrews 8 gives us some details about the new covenant. The new covenant involves Jesus as the mediator and high priest, is "superior to the old one", and is "founded on better promises". God found fault with the old obsolete covenant because the people did not remain faithful. God said under the new covenant, He will "put My laws in their minds and write them on their hearts". And, "they will all know Me" , for "I will forgive their wickedness and will remember their sins no more". What a wonderful promise of hope to rest in for us who are under the new covenant of Jesus !