At a chemical plant where you are an engineer, a tank contains an unknown liquid. You must determine the liquids specific heat capacity. You put 0.500 kgkg of the liquid into an insulated metal cup of mass 0.200 kgkg. Initially the liquid and cup are at 20∘C∘C. You add 0.500 kgkg of water that has a temperature of 80∘C∘C. After thermal equilibrium has been reached, the final temperature of the two liquids and the cup is 58.2 ∘C∘C. You then empty the cup and repeat the experiment with the same initial temperatures, but this time with 1.00 kgkg of the unknown liquid. The final temperature is 49.4 ∘C∘C. Assume that the specific heat capacities are constant over the temperature range of the experiment and that no heat is lost to the surroundings.   a,) Calculate the specific heat capacity of the liquid.   b.)Calculate the specific heat capacity of the metal from which the cup is made

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter21: Heat And The First Law Of Thermodynamics
Section: Chapter Questions
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At a chemical plant where you are an engineer, a tank contains an unknown liquid. You must determine the liquids specific heat capacity. You put 0.500 kgkg of the liquid into an insulated metal cup of mass 0.200 kgkg. Initially the liquid and cup are at 20∘C∘C. You add 0.500 kgkg of water that has a temperature of 80∘C∘C. After thermal equilibrium has been reached, the final temperature of the two liquids and the cup is 58.2 ∘C∘C. You then empty the cup and repeat the experiment with the same initial temperatures, but this time with 1.00 kgkg of the unknown liquid. The final temperature is 49.4 ∘C∘C. Assume that the specific heat capacities are constant over the temperature range of the experiment and that no heat is lost to the surroundings.

 

a,) Calculate the specific heat capacity of the liquid.

 

b.)Calculate the specific heat capacity of the metal from which the cup is made

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