A capacitor of capacitance \(C\) is initially charged to a potential difference \(V_0\). At time \(t = 0\), switch \(S\) is closed, allowing the capacitor to discharge through an ideal resistor of resistance \(R\). Which of the following expressions correctly represents the total thermal energy dissipated by the resistor from \(t = 0\) to \(t = 2\tau\), where \(\tau = RC\) is the time constant of the circuit?