A sample of an organic liquid with mass \(m = 0.20 \text{ kg}\) and specific heat capacity \(c = 2500 \text{ J/(kg}\cdot\text{K)}\) is heated in an insulated container by a resistive coil operating at a constant rate of energy transfer. The temperature \(T\) of the sample as a function of time \(t\) is shown in the graph. Based on the graph, what is the latent heat of vaporization \(L_v\) of the liquid?