No, an isothermal process is not necessarily internally reversible.
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For a process to be considered isothermal and reversible, it must occur at a constant temperature and be able to be reversed without any loss of energy.
The equation that relates the change in entropy (S) to the temperature (T), volume (V), and ideal gas constant (R) in a reversible isothermal process is S q / T.
The value of the polytropic exponent 'n' in a reversible polytropic process typically varies between 0 and ∞. However, common values for n are between 0 (isobaric process) and 1 (isothermal process) for ideal gases.
In thermodynamics, an isentropic process is a reversible and adiabatic process, meaning there is no heat exchange with the surroundings. An adiabatic process, on the other hand, does not necessarily have to be reversible, but it also involves no heat exchange with the surroundings.
An isothermal process gives maximum work because it occurs at constant temperature, allowing for the maximum possible conversion of heat energy into work.