The forum discussion centers on the discrepancy between the official answer of X=2.05 and the participant's calculation of X=1 in an adiabatic process problem from JEE Advanced 2020. Key points include the importance of using the correct formula for work done, specifically W=p0v0[(1-x)3-3γ-1)/(1-γ)], and the necessity of including higher-order terms in the Taylor series expansion. Participants emphasize the need to correctly apply the adiabatic condition and the role of the parameter γ in their calculations.
PREREQUISITESStudents preparing for the JEE Advanced exam, educators teaching thermodynamics, and anyone interested in understanding the nuances of adiabatic processes and their mathematical representations.
We are expanding the exact expression for the work in a Taylor series to 2nd order terms in a/R. So the result is not exact; we are retaining only the first 3 terms of the expansion.bhupesh said:why are we adding these terms when a is a infinitesimal quantity