A student investigates the reaction between two gases, \(\text{A}(g)\) and \(\text{B}(g)\), that react to form \(\text{C}(g)\) in a rigid \(1.0\text{ L}\) container at a constant temperature according to the following equation:

\[ a\,\text{A}(g) + \text{B}(g) \rightleftharpoons c\,\text{C}(g) \]

The student introduces initial amounts of \(\text{A}(g)\) and \(\text{B}(g)\) into the container and measures the equilibrium concentrations of all species, recording the data in the table below.

Species	Initial concentration (\(\text{M}\))	Equilibrium concentration (\(\text{M}\))
\(\text{A}(g)\)	\(0.60\)	\(0.20\)
\(\text{B}(g)\)	\(0.40\)	\(0.20\)
\(\text{C}(g)\)	\(0.00\)	\(0.40\)

Based on the data in the table, what is the value of the equilibrium constant, \(K_c\), for the reaction?