An insulated calorimeter cup of mass \(0.20\text{ kg}\) and specific heat capacity \(900\text{ J}/(\text{kg}\cdot^\circ\text{C})\) contains \(0.10\text{ kg}\) of water with specific heat capacity \(4200\text{ J}/(\text{kg}\cdot^\circ\text{C})\) in thermal equilibrium at \(20^\circ\text{C}\). A solid metal sample of mass \(0.10\text{ kg}\) heated to \(100^\circ\text{C}\) is submerged into the water, and the cup is quickly sealed. The system reaches a final thermal equilibrium temperature of \(25^\circ\text{C}\) with negligible heat exchange to the surroundings. What is the specific heat capacity of the metal sample?