Step 1: Calculate the number of moles of O\(_2\).
The molar mass of O\(_2\) is 32 g/mol. Therefore, the number of moles of O\(_2\) is:
\[
\frac{6.0 \, \text{g}}{32 \, \text{g/mol}} = 0.1875 \, \text{mol}
\]
Step 2: Calculate the heat absorbed per mole.
The total heat absorbed is 38.55 kJ. To find the heat absorbed per mole:
\[
\text{Heat absorbed per mole} = \frac{38.55 \, \text{kJ}}{0.1875 \, \text{mol}} = 205.6 \, \text{kJ/mol}
\]
Step 3: Conclusion.
The standard enthalpy of reaction is 205.6 kJ.