Steam is condensed on a bundle of 500 tubes through which there is a flow of cold water. The outside diameter of tubes is 5cm, and the overall heat transfer coefficient (based on outside area) is 800 W/m^2 K. The water enters at 20C with a flow rate of 0.5 kg/s. If the outlet temperature is 50C, how much steam is condensed on each tube, and how long is the tube bundle? The specific heat capacity of water at 35C is 4180J/kg-K, and enthalpy of vaporization of steam at atmospheric pressure is 2.257 * 10^6 J/kg.

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Chapter7: Forced Convection Inside Tubes And Ducts
Section: Chapter Questions
Problem 7.22P
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Steam is condensed on a bundle of 500 tubes through which there is a flow of cold
water. The outside diameter of tubes is 5cm, and the overall heat transfer coefficient
(based on outside area) is 800 W/m^2 K. The water enters at 20C with a flow rate of 0.5
kg/s. If the outlet temperature is 50C, how much steam is condensed on each tube, and
how long is the tube bundle? The specific heat capacity of water at 35C is 4180J/kg-K,
and enthalpy of vaporization of steam at atmospheric pressure is 2.257 * 10^6 J/kg. 

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for step 1, why would it be 13350 kW and not 31350kW?

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