Problem 4. In this problem, we will walk through how to derive the Kremser equation from component mass balances. (a) In class, we showed that, when CMO assumption is valid for any stage n and any component i, the term Vyn+1 - Lxin is a constant throughout the column (we denoted this constant as d in class, which stands for the net material upward flow for component 1). Meanwhile, we know that Yon+1 = KXen+1 and Yin = kxin as well (VLE relation), assuming that the K-value K is constant throughout the column. Based on these two sets of relations, show that: Ku) ora 2.0) VU+1 - YUN Hint: Start by writing down Vy, n+1-LXcn for n = N and n = N - 1 and apply the VLE relation. Note that, once we convert you and yo respectively to K xu and KX40 (which are physically present in the absorption column) using the VLE relation, we will recover the first form of the Kremser equation introduced in lecture (b) Following the same procedure in Part a), derive the second form of the Kremser equation in terms of liquid compositions: XLN - N1 N X1,0