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Heat conductivity

  1. Nov 8, 2011 #1
    1. The problem statement, all variables and given/known data

    An ice ball is melting in a water bath. Find the time needed for the ice ball to completely melt. Heat transfer is only due to heat conduction. The radius of the ball is [itex]R_0=1cm[/itex]. The temperature of the water in the bath is [itex]t=10°[/itex]. There is an infinite amount of water compared to the size of the ice ball.
    Heat of fusion of water is [itex]\lambda=334 kJ/kg[/itex]
    Density of ice is [itex]\rho=900 kg/m^3[/itex]
    Thermal conductivity of water is [itex]K=0,6 W/(m*K)[/itex]
    2. Relevant equations
    [itex]Q=4/3*\pi R_0^3\rho\lambda[/itex]

    3. The attempt at a solution
    The equation above is the only thing i know.
  2. jcsd
  3. Nov 8, 2011 #2
    What class are you taking? The reason why I ask is because this can be considered a moving boundary boundry problem with phase change which is rather advanced.
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