A student investigates the decomposition reaction represented below at \(300. \text{ K}\).

\(2\text{N}_2\text{O}_5\text{(g)} \rightarrow 4\text{NO}_2\text{(g)} + \text{O}_2\text{(g)}\)

The thermodynamic parameters for the reaction at \(300. \text{ K}\) are given in the table below.

Thermodynamic Parameter	Value
\(\Delta H^\circ\)	\(-40.0 \text{ kJ/mol}_{rxn}\)
\(\Delta S^\circ\)	\(+200. \text{ J/(mol}_{rxn}\cdot\text{K)}\)

Based on the data, what is the standard Gibbs free energy change, \(\Delta G^\circ\), for the reaction at \(300. \text{ K}\)?