The gas stream from a sulfur burner consists of $15$ mol$-\%$ SO$2,20$ mol$-\%$ O$2,$ and $65$mol$-\%$ N$2.$ The gas stream at atmospheric pressure and $400\backslash$deg C enters a catalytic converter where $86\%$ of the SO$2$ is further oxidized to SO$3.$ On the basis of $1$ mol of gas entering, how much heat must be added to or removed from the converter so that the product gases leave at $500\backslash$deg C$?$