Question

write the expression for work done for isothermal reversible change

Answer 1

An isothermal condition is where the temperature is constant during the whole process and operation. 

In these conditions, the volume change of an ideal gas can be taken as V1 to V2, and pressure change will be P1 to P2.

The work done (dw) by an ideal gas in 1 step = P x A (cross-section of the piston) x dl (distance travelled)

Thus, dw = P x dV, where dV is the increase in volume.

Therefore, the total work done by the isothermal reversible expansion of the ideal gas from V1 to V2 will be,  w = f2 eV1 P.dV

Following the equation for ideal gas,  P = nRT/V, The steps for work done 
for isothermal reversible change of an ideal gas in given in the link below:

http://www.sciencehq.com/chemistry/isothermal-reversible-expansion.html
  

Answer 2

Hey dear,

● Answer -
Work done for isothermal reversible change is given by -
W = -P∆V

● Isothermal reversible process -
- The process in which temperature remains constant during whole reaction is called isothermal process.
- In isothermal reversible process -
∆T = 0
Q = 0
W = ∆H
- Work done for isothermal reversible change is given by -
W = -P∆V

Hope this helps you...