(d) Assume that the ice block is replace by an aluminium block of the same dimensions. Calculate the total heat flow into the aluminium over this same temperature range. (e) Calculate the change in volume for the aluminium block over this temperature range. Also sketch a graph that shows how the volume will change as a function of temperature over the range. You can use the following material information in your calculations: Density of ice = 916.7 kg.m Heat capacity of ice = 898 J.kg'.K' Latent heat of fusion of water = 334 x 10³ J.kg' Heat capacity of water = 4196 J.kg'.K Latent heat of vaporisation of water = 2230 x 10³ J.kg' Heat capacity of water vapour = 1963 J.kg'.K Density of aluminium = 2700 kg.m Heat capacity of aluminium = 898 J.kg'.K Linear thermal expansion coefficient of Al (average value) = 2.4 x 10S K' -1

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Chapter8: Natural Convection
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Problem 8.28P
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Question c d and e please

4 Changes with temperature
An ice block at a temperature of -20°C and with dimension 5 cm x 5 cm x 5 cm is placed in a stream
of hot gas. The ice block heats up until all the ice is converted to water vapour at a temperature of
120 °C.
(a) Calculate the total heat absorbed by the ice/water/vapour from the initial to the final temperature.
(b) Sketch a graph that plots the heat flow versus temperature and indicate all important points and
values on your graph.
(c) Sketch the approximate change in volume of the three phases of water over this temperature range.
You do not have to calculate precise values, but you need to show the trend.
(d) Assume that the ice block is replace by an aluminium block of the same dimensions. Calculate the
total heat flow into the aluminium over this same temperature range.
(e) Calculate the change in volume for the aluminium block over this temperature range. Also sketch a
graph that shows how the volume will change as a function of temperature over the range.
You can use the following material information in your calculations:
Density of ice = 916.7 kg.m³
Heat capacity of ice = 898 J.kg"'.K
Latent heat of fusion of water = 334 x 103 J.kg'
Heat capacity of water = 4196 J.kg'.K
Latent heat of vaporisation of water = 2230 x 103 J.kg"
Heat capacity of water vapour = 1963 J.kg'.K
Density of aluminium = 2700 kg.m3
Heat capacity of aluminium = 898 J.kg'.K
Linear thermal expansion coefficient of Al (average value) = 2.4 x 10$K!
Transcribed Image Text:4 Changes with temperature An ice block at a temperature of -20°C and with dimension 5 cm x 5 cm x 5 cm is placed in a stream of hot gas. The ice block heats up until all the ice is converted to water vapour at a temperature of 120 °C. (a) Calculate the total heat absorbed by the ice/water/vapour from the initial to the final temperature. (b) Sketch a graph that plots the heat flow versus temperature and indicate all important points and values on your graph. (c) Sketch the approximate change in volume of the three phases of water over this temperature range. You do not have to calculate precise values, but you need to show the trend. (d) Assume that the ice block is replace by an aluminium block of the same dimensions. Calculate the total heat flow into the aluminium over this same temperature range. (e) Calculate the change in volume for the aluminium block over this temperature range. Also sketch a graph that shows how the volume will change as a function of temperature over the range. You can use the following material information in your calculations: Density of ice = 916.7 kg.m³ Heat capacity of ice = 898 J.kg"'.K Latent heat of fusion of water = 334 x 103 J.kg' Heat capacity of water = 4196 J.kg'.K Latent heat of vaporisation of water = 2230 x 103 J.kg" Heat capacity of water vapour = 1963 J.kg'.K Density of aluminium = 2700 kg.m3 Heat capacity of aluminium = 898 J.kg'.K Linear thermal expansion coefficient of Al (average value) = 2.4 x 10$K!
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