Solve Another Weird Problem: Calculate Specific Heat Capacity

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The discussion focuses on calculating the specific heat capacity of a metal sample based on a heat transfer scenario. A 250 g metal sample heated to 130°C is submerged in 425 g of water at 26°C, resulting in a final water temperature of 38.4°C. The formula used is specific heat = (4.18 x 425 g x (38.4 - 26) + 1.2) / (250 x (130 - 38.4)), where 1.2 x 10^3 Joules is the heat lost to the environment. This calculation provides a definitive method for determining specific heat capacity in thermal equilibrium problems.

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wunderkind
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Thanks so very much with the help you gave me. I am truly grateful.
By the way, here's another weird problem:
A sample of with a mass of 250.g is heated to 130. degrees celsius, and dropped into 425g of H2O at 26.0 degrees C. The final temp. of the H2O is 38.4 degrees C. What is the specific heat capacity of the metal if 1.2 (10 exponent 3) Joules is lost to the environment.
Once again, I am clueless!
 
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Heat lost by sample = heat gained by water + heat gained by surroundings
 
specific heat = (4.18 x 425g of water x (38.4-26)+1.2)/(250x (130-38.4))
 

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