What is the volume of compressed dry steam from 1 bar to 4 bar isothermally?

  • Thread starter naim
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In summary, to calculate the dimensional change of an electric motor winding expansion fitted into its housing, you can use the equation ∆L/L = α∆T, where α is the linear thermal expansion coefficient. In this case, the coefficient is 12x10^-6 per degree. To solve for ∆T, you need to know the initial length L, the change in length ∆L, and the coefficient α. You can rearrange the equation to solve for ∆T, and then use that value to determine the temperature to which the housing must be raised. In the second problem, the volume of dry steam is compressed isothermally from 1 bar to 4 bar, with an initial volume of
  • #1
naim
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Homework Statement



i came across this question while revising, can someone talk me through it please. I need to calculate the dimensional change.

The stator of an electric motor winding is to be expansion fitted into its housing. if the diameter of the stator at 20 degrees C is 150.1 mm and the diameter of the housing is at 20 degrees C is 150 mm, determine the temperature to which the housing must be raised to facilitate the assemble.

The coefficient is 12x10 ^-6 degrees


Homework Equations



∆L/L = α∆T, α is linear thermal expansion coef

The Attempt at a Solution

 
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  • #2
You are given L, α and ∆L is something you can calculate (how much stretching do you need?). Then use that equation to solve for ∆T.
 
  • #3
do you mind showing me how to do it ? with a different question perhaps? i have just started to learn and I am not very good at maths
 
  • #4
Hi naim! http://img96.imageshack.us/img96/5725/red5e5etimes5e5e45e5e25.gif

You provided this equation: ∆L/L = α∆T, α is linear thermal expansion coef
and you said The coefficient is 12x10 ^-6 degrees

I think the coefficient of linear expansion should be expressed "per degree", i.e., 12x10 ^-6 /degree
and you should have been told whether Celcius or Farenheit

So the first step into fill in the information you know:
L =
∆L =
α =
∆T =

If necessary, convert the above to standard units because equations always require that the data be expressed in standard units.

Next, re-arrange the equation so the unknown quantity is on one side by itself.
 
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  • #5
Thanks dude :)
 
  • #6
can someone help me with this ?

Dry steam is compressed isothermally from a pressure of 1 bar to 4 bar. if the initial volume is 0.5 m^3, calculate the volume of the steam after compression
 

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