Procedure Part A: Practice with the Mathematics This portion of the experiment i
ID: 695755 • Letter: P
Question
Procedure Part A: Practice with the Mathematics This portion of the experiment is to get some practice using the mathematical framework for specific heat and heat transfer. Read the problem carefully and answer the following questions to solve the problem. Problem: A metal sample with a mass of 50 grams is placed in a pot of boiling water until they reach an equilibrium container full of 25 g of of 3459 what is the specific heat ofthe sample um temperature of 100°C. The sample is then transferred to an insulating water at a temperature of 22"C. They reach an equilibrium temperature ? What type of metal is the sample? 1. What is the temperature change of the metal sample? 2. What is the temperature change of the water in the insulating cup? 3. How much heat is gained by the 25g of water? How much heat is lost by the metal sample (no need for a calculation, use logic to answer the question)? 4. Use the information above to solve for the specific heat of the metal sample? Compare this to the values on the second page. What type of metal is the sample made up of? 5.Explanation / Answer
Mass of metal sample = 50 gm, let the pecific heat of sample =CP
Metal temperature changes from 100 deg.c to 34.59 deg.c
Since the system is insulated, the heat lost by metal has to be equal to heat gained by water
Change in metal temperature = 100-34.59=65.41 deg.c
Change in water temperature=34.59-22 = 12.59 deg.c
Heat lost by metal = mass of metal* specific heat of metal* temperature difference= 50*Cp*65.41
Considering the specific heat of water as 4.184 j/gm.deg.c
Heat gained by water= 25*4.184*12.59= 1317 joules
This must be equal to heat lost by metal= 3270.5CP= 1317
Cp= 1317/3270.5=0.402 J/gm.deg.c, specific heat of the metal is close to that of copper.
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