Step 1:
The work done during a polytropic process is given by the equation:
\[W = \frac{{mR(T_2 - T_1)}}{{1-n}}\]
where \(m\) is the mass of the air, \(R\) is the specific gas constant for air, \(T_1\) and \(T_2\) are the initial and final temperatures
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