A sample of iron was heated to 161.0°C, then placed into 338 g of water at 21.6°C. The temperature of the water rose to 26.9°C. How many grams of iron were in the sample?

Question

Specific heat for Iron is 0.473.

Answer 1

You have no units on the specific heat of Fe.
heat lost by Fe + heat gained by water = 0

[mass Fe x specific heat Fe x (Tfinal-Tinitial)] + [mass H2O x specific heat H2O x (Tfinal-Tinitial)] = 0
Substitute the numbers and solve for mass Fe.