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

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To calculate the volume of dry steam compressed isothermally from 1 bar to 4 bar with an initial volume of 0.5 m³, the ideal gas law can be applied. The relationship between pressure and volume for isothermal processes indicates that the product of pressure and volume remains constant. Therefore, using the formula P1V1 = P2V2, where P1 is 1 bar, V1 is 0.5 m³, and P2 is 4 bar, the final volume V2 can be determined. The calculation shows that the volume of steam after compression is 0.125 m³. This demonstrates the significant reduction in volume when increasing pressure in an isothermal process.
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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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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.
 
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
 
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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Thanks dude :)
 
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
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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