$10\ \text{g}$ of steam at $100\ ^\circ\text{C}$ is bubbled into $0.50\ \text{kg}$ of water at $20\ ^\circ\text{C}$ until it has all condensed. What is the final temperature? (Latent heat of vaporisation $2.26 \times 10^{6}\ \text{J/kg}$, $c = 4186\ \text{J kg}^{-1}\text{K}^{-1}$.)