Part A: Practice with the Mathematics This portion of the experiment is to get s
ID: 557274 • Letter: P
Question
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 whth a mas of sol in a pot of boiling wat er until they reach an equilibrium temperature of TOuC. The sample is then transferred to an insulating container full of 25 g of water at a temperature of 22°C. They reach an equilibrium tem of 34.59°C. What is the specific heat of the sample? 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
a) Temperature change of mtal = 100-34.59
= 65.41 deg C
b) Temperature change for water in insulating cup = 34.59-22
12.59 deg C
c)Heat gained by water = mass * specific heat of water (4.2 J/g C) * dt ( change in temperature)
25*4.2*(34.59-22)
= 1321.95 J
D) Heat lost by metal = heat gained by water
so heat lost by metal = 1321.95 J
E) Specific heat of metal
mass of metal * specific heat of metal * change in temp = mass of water * specific heat of water* temp change
50 * specific heat of metal * 65.41=25*4.2*12.59
specific heat of metal = 0.4042 J/g C