The thickness h of a sheet of sea ice as a function of time t satisfies the equation:

Transcribed Image Text:

dh dt . Ta is the air temperature, Heat escapes through the ice ● Tw is the water temperature, ice Thin layer of water freezes as .k is the thermal conductivity of the ice, heat escapes L is the latent heat of the water, and water • D is the mass density of the water. In this question we will assume that Ta, Tu, k, L, and D are constants. We measure the thickness of a sheet of sea ice daily, and observe that it is 3 cm on day 0, and 5 cm on day 10. Determine when the thickness of the sheet will be 13 cm. for h> 0 where k LDh (Tw - Ta) air dh dt . Ta is the air temperature, Heat escapes through the ice ● Tw is the water temperature, ice Thin layer of water freezes as .k is the thermal conductivity of the ice, heat escapes L is the latent heat of the water, and water • D is the mass density of the water. In this question we will assume that Ta, Tu, k, L, and D are constants. We measure the thickness of a sheet of sea ice daily, and observe that it is 3 cm on day 0, and 5 cm on day 10. Determine when the thickness of the sheet will be 13 cm. for h> 0 where k LDh (Tw - Ta) air

Answer rating: 100% (QA)

We have given that dh dt LDh We simplify it hah K TwTa dt LD ... View the full answer