To solve this problem, we need to understand the methods used to remove temporary hardness of water.$\\$Temporary hardness is primarily caused by the presence of bicarbonate salts of calcium and magnesium.$\\$It can be removed by boiling or by adding certain chemicals.$\\$Let's analyze the given options:$\\$• Calgon's method:$\\$This method is used to remove permanent hardness by adding sodium hexametaphosphate (Calgon).$\\$It is not effective for temporary hardness.$\\$• Clark's method:$\\$This method involves adding lime (calcium hydroxide) to the water.$\\$The lime reacts with the bicarbonates to form insoluble carbonates, which can be removed by filtration.$\\$This method is specifically used to remove temporary hardness.$\\$• Ion-exchange method:$\\$This method is used to remove both temporary and permanent hardness by exchanging calcium and magnesium ions with sodium ions.$\\$It is more commonly used for permanent hardness.$\\$• Synthetic resins method:$\\$This method also involves ion exchange using synthetic resins.$\\$It is effective for both temporary and permanent hardness but is not specific to temporary hardness.$\\$Based on the analysis, Clark's method is the correct choice for removing temporary hardness.$\\$Therefore, the correct option is Option 2: Clark's method.