Thermodynamic possiblity for outlet temperatures of heat exchanger

Temperatures of exhaust gas and water at heat-exchanger outlet
I have a heat & mass balance diagram wherein there is a shell and tube heat exchanger to recover heat from hot exhaust gas using cold water. The exhaust gas inlet temperature is 120°C and the outlet is at 40°C. The inlet water temperature is 35°C while the outlet water temperature is at 50°C.

I wish to know, that whether an exhaust outlet of 40°C and water outlet of 50°C is thermodynamically possible?

Kindly provide reasons also.


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