(I) A block of water ice, with mass 10kg at an initial temperature 0c, is tossed
ID: 2039192 • Letter: #
Question
(I) A block of water ice, with mass 10kg at an initial temperature 0c, is tossed into an insulated barrel holding 100 kg of liquid water at 10c. [The insulated barrel prevents heat from entering or leaving the systein! The latent heat of fusion for water is LF. I10-333000 J/kg, and the specific heat capacity of liquid water is CH2o 4186J/(kgc). (a) Compute the amount of heat which must be added in order to completely melt the ice to water at 0c. (b) Compute the amount of heat which must be removed in order to cool the water in the barrel to 0c. (e) In this particular case, (CHOOSE ONE all of the ice melts and we are left with 110kg of liquid water at a temperature between 0c and 10 C. some ice remains loating in an amount of water (with mass between 100 kg and 110kg) all at OC (I) Substances A and B have thermal conductivities kA 100/(a-c) and kp-300/(C). (a) A sample of A with length LA 0.5m and face area Ad-2m lies in series with a sample of material B having the same face area and length LB = 1.5 m. 0) Compute the effective thermal conductivity of this series combination of samples. (ii) Compute the rate at which heat flows through this composite material when one end is held at TH30c and the other at Tc 15c (b) A sample of A with length LA 0.5m and face area As-2m2 lies in parallel with a sample of material B having the same length and face area Ag1 i) Compute the effective thermal conductivity of this parallel combination of samples. (ii) Compute the rate at which heat flows through this composite material when one end is held at TH 30C and the other at Te 15 c. Page 1 of 4Explanation / Answer
part a:
heat required to completely melt the ice=mass*latent heat of fusion=10*333000=3330000 J
part b:
heat to be removed to cool the water in the barrel to 0 degree celcius=mass*specific heat of water*change in temperature
=100*4186*(10-0)
=4186000 J
part c:
as heat released by 100 kg water is higher than heat required to fully melt the ice, the ice will melt fully and the final temperature will be somewhere between 0 and 10 C.
hence first option is correct.
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