The initial concentration of \( N_2O_5 \) in a first order reaction, \( N_2O_5(g) \rightarrow 2NO_2(g) + \frac{1}{2}O_2(g) \), was \( 1.68\times10^{-2}\,\text{mol L}^{-1} \) at \( 310\,K \). The concentration of \( N_2O_5 \) after 10 minutes was \( 0.84\times10^{-2}\,\text{mol L}^{-1} \), what is the rate constant at \( 310\,K \)? ( \( \log 2 = 0.3010 \) )