OT from The "Ice Bomb" thermal engine

My reason for appearing here, was, a little over a week ago, I had posted a question on the Stirling Engine Forum I frequent: There was no response. So I thought perhaps the knowledgeable folks on this or another Science forum might have some input. I don't think I've received an unequivocal answer. Perhaps the equation can't be used because this engine doesn't behave in the expected way, and something about steam tables and not having a glacier or something along those lines. W
! Moderator Note And we went through this before. It ended up with the thread being closed, and you were told not to open up a new thread on it. Doing an end-run by bringing it up in a thread on another topic isn’t allowed.