Pages

Wednesday, May 18, 2011

Isothermal Reversible Expansion Work of an IDEAL Gas

Consider an ideal gas confined in a cylinder with a frictionless piston. The reversible
expansion of gas takes place in a finite number of infinitesimally small
intermediate steps. If the Pext is infinitesimally less than internal
pressure of gas ‘P’ by ‘dP’. Then gas expands reversibly and piston moves
through a distance ‘dl’.              
Since dP is so small, for all practical purposes.                              
Pext.  – Pgas  = P.              
One work done by gas in one infinitesimal step (dw) can be expressed as;                              
dw   =   P  ´  dV.         [ w = P ´ DV]                        
\dw  =   PdV.                            
If the gas expands from V1 to V2 during isothermal
reversible expansion. The total amount of work done would be equal to

15 comments:

  1. What if the number of moles is not constant..?

    ReplyDelete
    Replies
    1. there will apear an n in the last expression only which shows that the moles are n in number

      Delete
    2. how the number of mole will be not constant ,even then we put specific mole of gas in container then it remain constant.

      Delete
  2. This comment has been removed by the author.

    ReplyDelete
  3. What if no of moles remains same

    ReplyDelete
    Replies
    1. remove the n from the last expression so the resultant answer will be the answer to you question

      Delete
  4. what will be the enthalpy change

    ReplyDelete
    Replies
    1. For a substance of fixed composition, the enthalpy changes with change in temperature at constant pressure, can be calculated as.....
      Delta H= Integral Sign(a+bT+bT^-2) and Limits of integrals are T1 to T2

      Delete
  5. what will be the enthalpy change

    ReplyDelete
    Replies
    1. For a substance of fixed composition, the enthalpy changes with change in temperature at constant pressure, can be calculated as.....
      Delta H= Integral Sign(a+bT+bT^-2) and Limits of integrals are T1 to T2

      Delete
  6. Replies
    1. W is +ve when the work is done ON the system by the surroundings.

      Delete
  7. When to use -nRT ln v2/v1 and -2.303nRTlogv2/v1

    ReplyDelete
  8. how then can we compare this with isothermal irreversible expansion work?

    ReplyDelete
  9. I read your blog frequently and I just thought I’d say keep up the amazing work! https://pressurewasherguides.com/gas-pressure-washer/

    ReplyDelete