Struggling with a past paper question. DONT WANT ANSWERS JUST A NUDGE

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The discussion revolves around a physics problem involving heat transfer between a copper container, water, and an iron ball. The user is struggling to rearrange the heat energy equations correctly to find the final temperature after the iron ball is dropped into the water. They initially calculated a final temperature of 20.00008°C but suspect it is incorrect. The assumption of no heat transfer to the surroundings is acknowledged as part of the problem's conditions. Ultimately, the user believes the correct final temperature should be around 20.71°C.
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this is the question; it's just blown me a bit as there 3 materials involve the water, container and ball :s

I don't expect answers, nor do i want them, I', just stuck and need a push to gte my head round it, what I've tried so far gave me a final temp of 20.00008 degrees c, guessing that's wrong

A copper container, of mass 0.6 kg, holds 1.5 kg of water at 20°C. An iron ball, of mass 100g and at a temperature of 120°C, is dropped into the water. Assuming no heat transfer to or from the surroundings, estimate the final temperature of the water.
Use the specific heats (kJ/kg K): copper: 0.387, water: 4.2, iron: 0.448
 
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Write an equation for the heat energy gained or lost by each object in terms of the knowns and unknowns. For example you know the initial temperature of the iron ball but not the final temperature. Solve.

There is a reasonable assumption you will have to make that isn't stated in the problem.
 
is it, that the energy in the system remains constant?
 
buzz_benj said:
is it, that the energy in the system remains constant?

That's already stated in the problemwhen it says..

Assuming no heat transfer to or from the surroundings
 
worked it out, I am a moron and buggered up the rearranging of the equation to make the final temp the subject, i think the answer is 20.71
 
I think it's easist first to watch a short vidio clip I find these videos very relaxing to watch .. I got to thinking is this being done in the most efficient way? The sand has to be suspended in the water to move it to the outlet ... The faster the water , the more turbulance and the sand stays suspended, so it seems to me the rule of thumb is the hose be aimed towards the outlet at all times .. Many times the workers hit the sand directly which will greatly reduce the water...
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