Energy balance calculation for heat exchanger system

I need help solving this chemical engineering energy balance problem. Please provide a detailed step-by-step solution with formulas used and final answers.

Hot water enters a heat exchanger at 120C with a flow rate of 2 kg/s.

Cold water enters at 30C with a flow rate of 3 kg/s.

Assume:

Specific heat capacity (Cp) of water = 4.18 kJ/kgK

No heat loss to surroundings

The outlet temperature of hot water is 80C

Required:

Calculate the heat transferred (kW).

Determine the outlet temperature of the cold water.

Please show all energy balance equations and calculation steps clearly.

Requirements:

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