[tex]0.367 \; \text{J} \cdot \text{g}^{-1} \cdot \text{K}^{-1}[/tex]
The specific heat of a substance measures the energy required to raise the temperature of a one-unit-mass sample of this substance by one unit.
The question provides the following information:
The specific heat of this substance measures the energy change [tex]Q[/tex] for a process involving:
Apply the formula
[tex]c = Q/(m \cdot \Delta T)\\\phantom{c} = 550 \; \text{J} / (6 \; \text{g} \cdot 25 \; \text{K})\\\phantom{c} = 0.367 \; \text{J} \cdot \text{g}^{-1} \cdot \text{K}^{-1}[/tex]