Calculate change in temp (thermal conduciton)

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In summary, a steam boiler produces steam at a rate of 0.5 kg.s-1 with a specific latent heat of vaporisation of 2.3 MJ kg-1. The boiler has a 6mm thick steel plate with a thermal conductivity of 48Wm/s k/s. To calculate the temperature drop across the boiler plates, the equation Q/t=λ.A.(Change in temp/thickness) can be used. This temperature drop will be a function of time, and may also be affected by the temperature of the medium at the other side of the plate. However, the given formula does not take this into account. It can be assumed that a larger difference in temperature between the two mediums will result in a higher
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mm874
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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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  • #2
Well you can get Q/t from the first line, so I guess you just need to rearrange to get the change in temperature.
 
  • #3
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?>?
 

FAQ: Calculate change in temp (thermal conduciton)

1. How is thermal conductivity calculated?

Thermal conductivity is typically calculated using the equation: Q = (k x A x ΔT)/L, where Q is the amount of heat transferred, k is the thermal conductivity coefficient, A is the cross-sectional area of the material, ΔT is the change in temperature, and L is the length of the material.

2. What factors affect the rate of thermal conductivity?

The rate of thermal conductivity is affected by several factors, including the material's thermal conductivity coefficient, its thickness, its density, and the temperature difference between the two sides of the material.

3. How does thermal conductivity differ between materials?

Different materials have different thermal conductivity coefficients, which is a measure of their ability to conduct heat. Materials with high thermal conductivity, such as metals, are good conductors of heat, while materials with low thermal conductivity, such as insulators, are poor conductors of heat.

4. What is the relationship between thermal conductivity and temperature?

The thermal conductivity of a material typically increases with temperature. This is because as temperature increases, the molecules in the material vibrate more, which allows for better transfer of heat energy.

5. How is thermal conductivity used in real-world applications?

Thermal conductivity is an important concept in many real-world applications, such as in building insulation, electronics cooling, and energy efficiency. It is also used in the manufacturing of materials, as well as in the design and optimization of heating and cooling systems.

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