Reversible heat engines 1 and 2 are connected to each other in such a way that the output temperature of engine 1 is the input temperature of engine \(2, T_{\text {lout }}=T_{2 \text { in }}\), and the quantity of energy transferred thermally out of engine 1 is the quantity transferred into engine \(2, Q_{\text {tout }}=\) \(Q_{2 \text { in }}\). Calculate \(Q_{2 \text { out }}\) if \(T_{\text {in }}=270 \mathrm{~K}, T_{2 \text { out }}=422 \mathrm{~K}\), and \(Q_{\text {in }}=3.70 \times 10^{11} \mathrm{~J}\)