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A tank initially contains 3 m3 of water at 15 ° C, which is heated by...

A tank initially contains 3 m3 of water at 15 ° C, which is heated by a coil that supplies 1,250 kcal / min. Water is fed to the tank at a rate of 300 L / min at 65 ° C and is discharged at 400 L / min. It considers a density of 1.0 kg / L for water and a Ĉp of 1.0 kcal / kg K. The agitator in the tank has a 5 HP motor. a) Set the energy balance differentially for the water temperature in the tank. Solve the differential equation with a clear and orderly procedure and obtain an analytical solution as a function of time.

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Answer #1

Hope this will be helpful.

It is assumed that there is no heat supplied by motor

Uniform agitation is assumed so T at outlet and temperature in tank is same.

in calculation conversion should be considered if it's required.

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