An aluminum plate is at a temperature of \(25^{\circ} \mathrm{C}\). It is then suddenly subjected to a uniform and continuing heating at the rate of \(6 \mathrm{~W} / \mathrm{m}^{2}\). Develop a macroscopic model for the process. Find the time at which the surface temperature reaches a value of \(100^{\circ} \mathrm{C}\). Find the total heat transferred up to this time.