The gas-phase reaction
NO_{3} → NO_{2}+\frac{1}{2} O_{2}
obeys second-order kinetics. At a temperature of 20°C and an initial concentration of NO_{3} equal to 0.0500 mol L^{−1} , the concentration after 60.0 minutes is equal to 0.0358 mol L^{−1}. Assuming the reverse reaction to be negligible, find the value of the forward rate constant.