Reversible expansion of an ideal gas under isothermal and adiabatic conditions are as shown in the figure.

AB $\to$ Isothermal expansion
AC $\to$Adiabatic expansion
Which of the following options is not correct?

• A

  ${\mathrm{T}}_{\mathrm{C}}>{\mathrm{T}}_{\mathrm{A}}$

• B

  $\Delta {\mathrm{S}}_{\text{isothermal }}>\Delta {\mathrm{S}}_{\text{adiabatic }}$

• C

  ${\mathrm{T}}_{\mathrm{A}}={\mathrm{T}}_{\mathrm{B}}$

• D

  ${\mathrm{W}}_{\text{isothermal }}>{\mathrm{W}}_{\text{adiabatic }}$