The adiabatic process equation is given by: \(W = \frac{nC_v}{1-\gamma}(T_f - T_i)\), where
\(W\) = work done,
\(n\) = moles of gas,
\(C_v\) = molar specific heat at constant volume,
\(\gamma\) = adiabatic index, and
\(T_f\) and \(T_i\) = final and initial
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