The equation of state of a gas is given by $\left( {P + \frac{{a{T^2}}}{V}} \right)\,{V^c} = (RT + b)$, where $a, b, c$ and $R$ are constants. The isotherms can be represented by $P = A{V^m} - B{V^n}$, where $A$ and $B$ depend only on temperature then
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