A capacitor with capacitance \(C = 20\text{ }\mu\text{F}\) is initially charged to a potential difference \(V_0\) and stores an initial electrical energy \(U_0\). At time \(t = 0\), a switch is closed to connect the capacitor in series with a resistor of resistance \(R = 50\text{ k}\Omega\), allowing the capacitor to discharge. What is the time \(t\) required for the energy stored in the capacitor to decrease to \(25\%\) of its initial value \(U_0\)?