Question

In: Physics

An open container holds ice of mass 0.545 kg at a temperature of -19.4 ∘C ....

An open container holds ice of mass 0.545 kg at a temperature of -19.4 ∘C . The mass of the container can be ignored. Heat is supplied to the container at the constant rate of 850 J/minute .

The specific heat of ice to is 2100 J/kg⋅K and the heat of fusion for ice is 334×103J/kg.

(A) How much time tmelts passes before the ice starts to melt? answer in minutes

(B) From the time when the heating begins, how much time trise does it take before the temperature begins to rise above 0∘C? answer in minutes

Expert Solution

Given that mass of the ice is 0.545 kg.

Initial temperature T_i=-19.4 ⁰C.

The heat supply rate R=850 J/minute.

The specific heat of ice C_i= 2100 J/kg. K.

The heat of fusion for ice is L=33410³ J/Kg.

Part A) Let the time t_melt passes before the ice starts to melt.

It will take 26.12 minutes .

Part B) Let it will take time t before the temperature begins to rise above 0∘C

It will take 240.27 minutes before the temperature begins to rise above 0⁰C.

genius_generous answered 9 months ago

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