Question

An 825 g iron block is heated to 352°C and placed in an insulated container (of negligible heat capacity) containing 40.0 g of water at 20.0°C. The following may be useful: specific heat of water = 4186 J/(kg K); specific heat of water vapor = 2090 J/(kg K); specific heat of iron = 560 J/(kg K); latent heat of vaporization for water = 2.26 x 106 J/kg.

1. Is the final temperature less than, equal to, or larger than 100°C? You must support your answer with a calculation.

2. What is the final equilibrium temperature of the water and iron? For full credit, you must include a diagram in your solution. If you answer to part a. was 100°C, determine the amount of water left at equilibrium.

Answer 1

1000 Let final Temperature be a { x= 100°c } i Heat absorbed - Heat lost (mw Cw DT) +(mwl pop.) + (mw CSAT) = miron Ciron AT 3 404 4-186 (100-20) + (2.76X10") +2090(X-10013 - 8258 0.56+(352-)) 404 504.88 +2:09x} = 162624 - 462x 545.6* = 142428.8 x=261.05°c Lfinal Temperature

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