How many times 1 M" " CH_(3) C O O H solution should be diluted so that pH of the solution is doubled ? (K_(a) of acetic acid = 1.8 xx 10^(-5))

How many times 1 M" " CH_(3) C O O H solution should be diluted so tha

1.	How many times 1 M" " CH_(3) C O O H solution should be diluted so that pH of the solution is doubled ? (K_(a) of acetic acid = 1.8 xx 10^(-5))
Answer» 20 TIMES 200 times `5.55 XX 10^(2)` times `5.55xx10^(4) ` times Solution :pH of a weak ACID `=(1)/(2)[pK_(a)-log C]` `:.x=(1)/(2) [ pK_(a)-log 1] = (1)/(2) pK_(a)` and `2x=(1)/(2)[pK_(a)-log c]` or `pK_(a)=(1)/(2) pK_(a)-(1)/(2)log c (.:' 2x=pK_(a)]` or `(1)/(2) log c = - (1)/(2) pK_(a)` or `log c = -pK_(a)=log K_(a)` or `c=K_(a)=1.8xx10^(-5)` `:.` Dilution`=(1)/(1.8xx10^(-5))=5.55xx10^(4)` times