The number of moles of methane (\(n\)) in 8 g is:
\[
n = \frac{\text{Mass}}{\text{Molar mass}} = \frac{8}{16} = 0.5 \, \text{mol}
\]
The enthalpy of combustion of methane is 890 kJ/mol. Therefore, the heat released when 0.5 moles of methane is burned is:
\[
\text{Heat released} = 0.5 \times 890 = 445 \, \text{kJ}
\]
Final answer
Answer: \(\boxed{445\, \text{kJ}}\)