a)  $L{i}_{2}C{O}_3+2H_{2}O\to 2LiOH+H_{2}O+C{O}_2\uparrow$

$2L{i}^{+}+C{O}_3^{2-}+2H_{2}O\to 2L{i}^{+}+2O{H}^{-}+H_{2}O+C{O}_2\uparrow$

$C{O}_3^{2-}+H_{2}O\to \underline{2O{H}^{-}}+C{O}_2$