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

  • Thread starter Thread starter naim
  • Start date Start date
Click For Summary
SUMMARY

The discussion focuses on calculating the volume of dry steam when compressed isothermally from 1 bar to 4 bar, with an initial volume of 0.5 m³. The relevant equation for this calculation is derived from the ideal gas law, specifically using the relationship between pressure and volume in isothermal processes. The conclusion reached is that the final volume can be determined using the formula V2 = V1 * (P1/P2), where V1 is the initial volume, P1 is the initial pressure, and P2 is the final pressure. This results in a final volume of 0.125 m³ after compression.

PREREQUISITES
  • Understanding of the ideal gas law and isothermal processes
  • Familiarity with pressure-volume relationships in thermodynamics
  • Basic knowledge of dimensional analysis and unit conversions
  • Ability to manipulate algebraic equations for solving variables
NEXT STEPS
  • Study the ideal gas law and its applications in thermodynamics
  • Learn about isothermal compression and its implications in engineering
  • Explore the concept of linear thermal expansion and its calculations
  • Investigate the properties of steam and its behavior under varying pressures
USEFUL FOR

Students in mechanical engineering, thermodynamics enthusiasts, and professionals involved in steam system design and analysis will benefit from this discussion.

naim
Messages
8
Reaction score
0

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

 
Physics news on Phys.org
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 celsius 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.
 
Last edited by a moderator:
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
 

Similar threads

  • · Replies 10 ·
Replies
10
Views
4K
Replies
1
Views
7K
  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 6 ·
Replies
6
Views
13K