what is the final temperature of the mixture.............?

Question

If 46.1 g Zn at 18.0 °C is placed in 80.0 g H2O at 75.0 °C, what is the final temperature of the mixture? The specific heat capacities of zinc and water are 0.388 J/g·K and 4.184 J/g·K, respectively.

a.64.5 °C
b.27.3 °C
c.72.1 °C
d.65.7 °C
e.20.9 °C

Answer 1

The heat gained by the zinc will be lost by the water. Use the equation mc(T2-T1) = -mc(T2-T1) where one side is the zinc and the other side is the water. Plug in the masses, specific heats and the initial temperatures of each, and solve for the final temperature (T2).