A student calibrates a constant-pressure calorimeter containing \(100.0 \text{ g}\) of distilled water by using an internal electrical heating element. The heating element supplies thermal energy at a constant rate of \(25.0 \text{ J/s}\) for \(200. \text{ s}\), causing the temperature of the water and calorimeter to increase from \(20.0^\circ\text{C}\) to \(30.0^\circ\text{C}\). Assuming no heat is lost to the surroundings and given that the specific heat capacity of water is \(4.18 \text{ J}/(\text{g}\cdot^\circ\text{C})\), what is the heat capacity of the calorimeter, \(C_{\text{cal}}\)?