The two containers of water shown in the diagram on the right are completely ins
ID: 2003123 • Letter: T
Question
The two containers of water shown in the diagram on the right are completely insulated so no heat energy can be transferred into the system or out of the system. The water in both containers started at 20 degree C, and heat energy was transferred to the water in each container using heating coils until the final temperatures indicated in the diagram are reached. Which container had the most heat energy transferred to it Explain how it is possible to transfer different amounts of heat energy to these containers and get the same temperature change.Explanation / Answer
(a) The second container (with mass 200 g) was given the most heat energy given.
(b) The heat energy is given by Q = mcT
where m is mass of the sample, c is specific heat capacity of the sample and T is change in temperature of sample
Heat energy given to container (1) to raise temperature from 20oC to 30oC
Q1 = m1cT = (0.100 kg) (4184 J/kg/K) (300C-200C)
Q1 = 4184 J
Heat energy given to container (2) to raise temperature from 20oC to 30oC
Q2 = m2cT = (0.200 kg) (4184 J/kg/K) (300C-200C)
Q2 = 8368 J
It is evident from above calculations that it is possible to transfer different heat energies to these container and get the same temperature change. The reason for this is the mass of water in each container is different. More the mass, more heat will be required to raise its temperature.
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