P3. After a particularly cold night, Alice leaves a tub of water outside. You may consider the ground and air to have temperatures of T. = -10°C and T = 10°C respectively. How thick is the layer of ice that forms at the bottom of the tub of water, after the tub has been left outside for a long time? The tub of water initially has a layer of water of thickness họ = 10 cm. You may assume that the ground and air remain at a constant temperature throughout, and that the side lengths of the tub a, b > ho, i.e. the heat conduction is one- dimensional. Density of ice and water are Pice = 920 kg/m³ and Pw = 1000 kg/m³. Ice and water have thermal conductivities of kjce = 2.22 W K-'m-1 and kw = 0.556 W K-1 m-1.

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P3. After a particularly cold night, Alice leaves a tub of water outside. You may consider
the ground and air to have temperatures of T. = -10°C and T = 10°C respectively. How
thick is the layer of ice that forms at the bottom of the tub of water, after the tub has been
left outside for a long time? The tub of water initially has a layer of water of thickness
họ = 10 cm. You may assume that the ground and air remain at a constant temperature
throughout, and that the side lengths of the tub a, b > ho, i.e. the heat conduction is one-
dimensional. Density of ice and water are Pice = 920 kg/m³ and Pw = 1000 kg/m³. Ice and
water have thermal conductivities of kice = 2.22 WK-1m-1 and kiw = 0.556 W K-1m-1.
Transcribed Image Text:P3. After a particularly cold night, Alice leaves a tub of water outside. You may consider the ground and air to have temperatures of T. = -10°C and T = 10°C respectively. How thick is the layer of ice that forms at the bottom of the tub of water, after the tub has been left outside for a long time? The tub of water initially has a layer of water of thickness họ = 10 cm. You may assume that the ground and air remain at a constant temperature throughout, and that the side lengths of the tub a, b > ho, i.e. the heat conduction is one- dimensional. Density of ice and water are Pice = 920 kg/m³ and Pw = 1000 kg/m³. Ice and water have thermal conductivities of kice = 2.22 WK-1m-1 and kiw = 0.556 W K-1m-1.
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