Hello, Omar,
Specific heat is defined as a measure of how much energy is required to raise the temperature of a defined amount of a substance (e.g., 1 gram, kg, mole, etc.) by 1 degree (C or K, sometimes F).
In this problem we are told that 155 Joules was able to raise 11.0 grams of oxygen by (39.0 - 22.6) 16.4 C. We want units of J/gC, so put the data into that format:
155 Joules/((11.0 grams)*(16.4C))
= 0.8592 J/gC is the specific heat of oxygen
Round to 0.859 J/gC for 3 sig figs.
Bob