Answer
Please see the work below.
Work Step by Step
The required equations are given as follows
a. $2K+Br_2\rightarrow 2KBr$
b. $2K+2H_2O\rightarrow 2KOH+H_2$
c. $2NaOH+CO_2\rightarrow Na_2CO_3+H_2O$
d. $Li_2CO_3+2HNO_3\rightarrow H_2O+2LiNO_3+CO_2$
e. $K_2SO_4+Pb(NO_3)_2\rightarrow PbSO_4+2KNO_3$