Calculate change in temp (thermal conduciton)

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The discussion revolves around calculating the temperature drop across a steel plate in a steam boiler using thermal conductivity principles. The specific latent heat of vaporization and the steam production rate are provided as key parameters. The formula Q/t = λ.A.(Change in temp/thickness) is highlighted for rearranging to find the temperature change. There is a consideration that the temperature drop may also depend on the temperature of the medium on the other side of the plate, suggesting that a greater temperature difference could increase the drop. The conversation emphasizes the relationship between thermal conductivity, area, and temperature difference in heat transfer calculations.
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Homework Statement



A steam boiler produces steam at a rate of 0.5 kg.s-1. If the specific latent heat of vaporisation of water is 2.3 MJ kg-1:

The boiler has a steel plate which is 6mm thick. The thermal conductivity of steel is 48Wm/s k/s. Calculate the temp drop across the boiler plates if the area through which the heat is conducted is 5m^2?

Homework Equations



Q/t=λ.A.(Change in temp/thickness)

The Attempt at a Solution



48 x 5 x (change in temp/0.006)
 
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Well you can get Q/t from the first line, so I guess you just need to rearrange to get the change in temperature.
 
The temperature drop that you will get from this equation will b a function of time.

I am wondering that it should also be a function of temperature of medium at the other side of plate, but the formulae doesn't take that into account.
Ideally the bigger the difference in temp of two medium, the higher will b the temp drop..

Wat do u guys think?>?
 
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