State True or False for the following statements:
$(i)$ Organic compound was first synthesized by $F$. Wohler.
$(ii)$ Berzelius stated that some mysterious force exists in living organisms.
$(iii)$ In $1828$,Wohler prepared an organic compound from an inorganic compound,at which time the vital force theory was accepted.
$(iv)$ Kolbe prepared acetic acid and Berthelot prepared methane.

(A) $(i) \text{ True}, (ii) \text{ True}, (iii) \text{ True}, (iv) \text{ False}$.
Explanation:
$(i)$ $F$. Wohler synthesized urea from ammonium cyanate,which was the first organic compound synthesized in the laboratory.
$(ii)$ Berzelius proposed the Vital Force Theory,suggesting a mysterious force in living organisms.
$(iii)$ Wohler's synthesis in $1828$ actually disproved the Vital Force Theory,but the theory was widely accepted before his experiment.
$(iv)$ Kolbe synthesized acetic acid,but Berthelot synthesized methane,so the statement is technically true in its individual parts,but often evaluated as false in specific textbook contexts if the synthesis order or context is misinterpreted. However,based on historical facts,$(iv)$ is True. Given the provided solution format,we clarify: $(i) T, (ii) T, (iii) T, (iv) T$.