A quantity of steam at 100°C is passed into 1.5 kg of pure melting ice in a calorimeter. Heat from steam condensation just melts the ice. Find the mass of steam.

Let's solve question 3.

3. A quantity of steam at $100^\circ\text{C}$ is passed into a $1.5 \text{ kg}$ of pure melting ice in a highly insulated calorimeter so that the heat given out by the steam in condensing is just enough to melt the ice.

We will use the following standard physical constants:

• Latent heat of fusion of ice ($L_f$) = $3.34 \times 10^5 \text{ J/kg}$
• Latent heat of vaporization of steam ($L_v$) = $2.26 \times 10^6 \text{ J/kg}$
• Specific heat capacity of water ($c_w$) =