derive the expression for the entropy change during adiabatic expansion.
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we know ,
entropy is. change in heat per unit temperature . ds = dQ/T
but we know in adiabatic process ,
dQ = nCvdT
now ,
dS = nCvdT/T = nCv {dT/T}
dS = nCv[ lnT ] take limit Ti to Tf
= nCv[lnTf -lnTi ]
=nCv ln(Tf/Ti)
entropy is. change in heat per unit temperature . ds = dQ/T
but we know in adiabatic process ,
dQ = nCvdT
now ,
dS = nCvdT/T = nCv {dT/T}
dS = nCv[ lnT ] take limit Ti to Tf
= nCv[lnTf -lnTi ]
=nCv ln(Tf/Ti)
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