Gallium is a metal commonly used in semiconductor devices. This metal has a melting point of only 30 C at atmospheric pressure. A researcher wants to experimentally determine the heat of fusion of this metal. For this purpose, he places a piece of 299 g of solid pure gallium in a perfectly isolated cylinder, with 12 mol of air at 95 C. When the system reaches thermal equilibrium, 97 g of gallium remain in solid state (i.e. the rest has melted).

1.) What is the final temperature of the system?

2.) Assuming that air is an ideal diatomic gas, estimate the latent heat of fusion of gallium.

3.) Compare the obtained value with the value that appears in literature.