[Thermodynamics Question]

Question

aakashsudhakar · Answer

An ice ball with radius R with density D immersed in a warm water bath setting on a hot plate that delivers heat at a constant rate Q. 

Assuming that all heat delivered acts to melt the ice ball, develop an expression for the radius of the ice ball as a function of time t.

kenljw · Answer

This say's the water temperature is constant during the melting process, but the temperature difference between ball and water is not given.  The rate of heat transfer is a function of this difference therefore only a general solution is possible.  The density D might indicate the temperature of ball initially.

aakashsudhakar · Answer

We're allowed to make assumptions based on ideal cases and scenarios, but we should be able to derive an answer for a general case.

curry · Answer

step 1: relate mass to radius decresase. (can be found online easily)
step 2: find m in terms of Q and T. 
Step 3: Replace m with equation found in step 2.