Calorimetry Questions

Steam at $100^{\circ }\text{C}$ is passed into $20\text{g}$ of water at $10^{\circ }\text{C}$. When water acquires a temperature of $80^{\circ }\text{C}$, the mass of water present will be: [Take specific heat of water $=1{\text{cal g}}^{-1}{}^{\circ }{\text{C}}^{-1}$ and latent heat of steam $=540{\text{cal g}}^{-1}$ ]

Two identical bodies are made of a material for which the heat capacity increases with temperature. One of these is at $100^{\circ }\text{C}$, while the other one is at $0^{\circ }\text{C}$. If the two bodies are brought into contact, then assuming no heat loss, the final common temperature is: