A \(0.50\text{ kg}\) sample of a pure solid substance is heated at a constant rate in an insulated container. The graph shows the temperature \(T\) of the sample as a function of the total thermal energy \(Q\) added to it as it warms and undergoes a phase change to a liquid. What is the latent heat of fusion \(L_f\) of the substance, and how does the specific heat capacity of the solid phase \(c_{\text{solid}}\) compare to that of the liquid phase \(c_{\text{liquid}}\)?