Rate Of Heat Transfer Problem

2kg of Water at 1 atm boils in 30 minutes. Find the rate of heat transfer to the water.

The answer should be -(2kg)*334.5(KJ/Kg)/(30*60s)=0.3716KW

Is the solution correct? The given options are not having my answer

a. 2.51KW b.2.32KW c.2.97KW d.0.47KW e.3.12KW

Replies

  • Krzysztof Pelc
    Krzysztof Pelc
    Answer is d. 0.47 kW
    because:
    Heat of vaporization is calculated from a temperature of 100 degrees at a 1 atm and yet you have warmed these 2 kg of water at 100 degrees .... and hence the difference
  • ISHAN TOPRE
    ISHAN TOPRE
    hfg for water at 100 deg= nearly (2675-491.17)=2183.83

    2*2183.83/(30*60)=2.42

    No option. How come you are getting 0.47?
  • ISHAN TOPRE
    ISHAN TOPRE
    334.5 KJ/Kg is latent heat of ice and not steam.
  • Krzysztof Pelc
    Krzysztof Pelc
    Heat of vaporization is the difference enthalpy between the points on boundary curves
    h1 = 419.71 kJ / kg, h2 = 2675.72 kJ / kg

    h2-h1= 2256 kJ/kg !!!!!!!!!!!!!!!!!

    Q=m*dh/3600 /heat related to hours

    Q=2*2256/(30*60)=2,51 kW

    Answer a. is correct - first time i go after you suggest 😀)

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