Final answer:
Barium chloride (BaCl₂) is soluble in water and is the correct answer among the choices given. Lead chloride (PbCl₂) and silver chloride (AgCl) are generally insoluble in water. So, the option is A.
Step-by-step explanation:
The question relates to the solubility of various ionic compounds in water. Among the options given, BaCl₂ (barium chloride) is soluble in water. This is because all nitrates, alkali metal salts, and most barium compounds are soluble in water. However, compounds like PbCl₂ (lead chloride) and AgCl (silver chloride) are typically insoluble due to the general rule that silver and lead(II) salts have limited solubility.
PbCl₂ and AgCl are generally not soluble in water. However, certain conditions, such as the presence of complexing agents or a high concentration of certain ions, can affect the solubility, but this information is not specified in the question.
Therefore, the correct option to which of these compounds is soluble in water is: A) BaCl₂.