Two parallel first-order liquid phase reactions \( A \xrightarrow{k_1} B \) and \( A \xrightarrow{k_2} C \) are carried out in a well-mixed isothermal batch reactor. The initial concentration of \( A \) in the reactor is \( 1 \, \text{kmol} \, \text{m}^{-3} \), while that of \( B \) and \( C \) is zero. After \( 2 \, \text{hours} \), the concentration of \( A \) reduces to half its initial value, and the concentration of \( B \) is twice that of \( C \). The rate constants \( k_1 \) and \( k_2 \), in \( \text{h}^{-1} \), are respectively: