#"volume of "NH_4Cl "solution"=400mL=0.4L#
#"Strength of "NH_4Cl "solution"=1.5M#
#"volume of "NH_3 "solution"=600mL=0.6L#
#"Strength of "NH_3 "solution"=0.1M#
#"Total volume of buffer soln"=0.4+0.6=1L#
#"Strength of "NH_4Cl "in buffer soln"=(1.5xx0.4)/1M=0.6M#
#"Strength of "NH_3 "in buffer soln"=(0.1xx0.6)/1M=0.06M#
For #NH_3# the
#K_b=1.8xx10^-5#
#=>pK_b=-log(1.8xx10^-5)=5-log1.8=4.74#
Now by Henderson Hasselblach equation #pOH# of the buffer
#pOH=pK_b+log([[NH_4Cl]]/[[NH_3]])#
#pOH=4.74+log((0.6M)/(0.06M))=4.74+1=5.74#
So for the buffer solution
#pH=14-pOH=14-5.74=10.26#