# Final temperature - Thermodynamics problem

1. Oct 23, 2013

### Doyouevenlift

1. A frying pan, weighing 2kg (heat capacity = 490 J/kg/K) and at a temperature of 70C is plunged into a bowl containing 4kg of water (heat capacity = 4200) at 20C. Assuming the bowl has negligible heat capacity and assuming that there is no heat flow to or from the surroundings, what is the final temperature of the water in the bowl to the nearest C?

2. E = mcΔT, where m is mass, c is heat capacity and T is the temperature

3. 50 = ΔT_P + Δ T_W [/b], where the first term is the temperature change of the pan and the second term is the temperature change of water. But I don't know how to continue this problem.

Last edited by a moderator: Oct 23, 2013
2. Oct 23, 2013

### Staff: Mentor

Suppose that the two materials end up at some common final temperature between the two starting temperatures. Write expressions for the heat lost by the one that's cooling, and heat gained by the one that's warming. Then apply energy conservation...