Q1) You are planning a picnic and want to use a Styrofoam box to keep the drinks cold. This box has a total wall area including the lid of 0.8 m? and the wall thickness is 2 cm. The thermal conductivity of Styrofoam is 0.01 W.m1.K1. In your box you please In order to test the performance of the box before the picnic, you fill it with ice at 0 °K. The inside of the box can be considered to be at the same temperature as the ice. (a) Calculate the rate of heat flow into the box if the outside temperature is 30 °C. Assume that heat flow is uniform from all six sides of the box. (b) How much ice in the box will be melted if the heat flow calculated in (a) is allowed to flow into the box over an eight hour period ? (c) Assume that you fill the box with a mixture consisting of 1 kg of ice and 1 kg of water at a temperature of 0 °C at the start of the day. What will be the state and the temperature of this mixture at the end of eight hours assuming constant heat flow at a rate as calculated in (a)?

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Q1) You are planning a picnic and want to use a Styrofoam box to keep the drinks cold. This box has
a total wall area including the lid of 0.8 m2 and the wall thickness is 2 cm. The thermal conductivity
of Styrofoam is 0.01 W.m1.K1. In your box you please In order to test the performance of the box
before the picnic, you fill it with ice at 0 °K. The inside of the box can be considered to be at the
same temperature as the ice.
(a) Calculate the rate of heat flow into the box if the outside temperature is 30 °C. Assume that heat
flow is uniform from all six sides of the box.
(b) How much ice in the box will be melted if the heat flow calculated in (a) is allowed to flow into
the box over an eight hour period ?
(c) Assume that you fill the box with a mixture consisting of 1 kg of ice and 1 kg of water at a
temperature of 0 °C at the start of the day. What will be the state and the temperature of this
mixture at the end of eight hours assuming constant heat flow at a rate as calculated in (a)?
Transcribed Image Text:Q1) You are planning a picnic and want to use a Styrofoam box to keep the drinks cold. This box has a total wall area including the lid of 0.8 m2 and the wall thickness is 2 cm. The thermal conductivity of Styrofoam is 0.01 W.m1.K1. In your box you please In order to test the performance of the box before the picnic, you fill it with ice at 0 °K. The inside of the box can be considered to be at the same temperature as the ice. (a) Calculate the rate of heat flow into the box if the outside temperature is 30 °C. Assume that heat flow is uniform from all six sides of the box. (b) How much ice in the box will be melted if the heat flow calculated in (a) is allowed to flow into the box over an eight hour period ? (c) Assume that you fill the box with a mixture consisting of 1 kg of ice and 1 kg of water at a temperature of 0 °C at the start of the day. What will be the state and the temperature of this mixture at the end of eight hours assuming constant heat flow at a rate as calculated in (a)?
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