You seem to be asking the correct questions for this problem,

however there is a lot of "devil in the detail"

Attacking part a)

you need to consider the

specific heat capacity of water

then the

latent heat of freezing of the water to ice

and finally the

specific heat capacity of ice.

You do, however, seem to be missing some steps before part b)

How is your compressor operating on the antifreeze to cool it down?

SOrry for the late response. I'll try to clarify the problem in more details. IM attaching a sketch of the problem as it was presented to me.

So, you have a copper mold cooled by a compressor with copper tubing, 2 pools of water which total 1 liter. The problem seems a bit more complicated

than i initially thought.

So we start with determining the ammount of energy we need to remove from the bodies of water to turn them into ice at -5°C, we use the Q=mc(T1-T2) formula with T1 being 20°C and T2 being 0°C, then we add the crystalization energy required and finally then the Qice=mc(T3-T4) with t3 being 0°C and T4 being -5°C. The addition of the 3 gives us the Qtotal we're looking for.

The next step i assume is finding the heat flow and this is where i run into issues. I assume there are several flows we need to find out, one being from coolant to the copper tubes and the second one being from the tubes to the mold and final from the copper mold to the body of water. For the first one we use the inner radius of the tube to find the inner surface area, for the second one we find the size of contact surface A and for the third we use contact surface B.

We use the q=Q/t=

**α** (T1-T2) / L with L being the width of the surface. I think you need to do the 3 equations as the surface areas differ and with them the heat flow. Im unsure tho what to do or how to combine the 3 q values into 1 or if that is even needed. also im unsure how to determine the temperature of the contact between the copper mold and copper tubing to get the 2nd heat flow.

After this im lost. Lets say you have a compressor with 100W of power and 0,1kg/s mass flow with a random coolant. I dont know which equations or what system to use that includes the specific heat of the coolant and the mass flow of the compressor.[/QUOTE]