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Write the balanced chemical equations for the given reaction:
 $ Barium\text{ }Chloride+Potassium\text{ }Sulphate=Barium\text{ }Sulphate+Potassium\text{ }Chloride. $

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Hint :We know that we can write the chemical equation of the above given chemical reactions, then by applying trial and error methods in order to balance the chemical equation. The condition to balance is the number of a particular element in the reactant should be equal to the number of elements in the product.

Complete Step By Step Answer:
Chemical equation is the representation of a chemical reaction where the reactants react to give products. The law of conservation of mass attributes for balancing a chemical equation. The law of conservation of mass states that the atoms are neither created nor destroyed. In a chemical equation the substance that is to the left of the arrow is called reactant and the substance that is to the right of the arrow is called product. Applying the law of conservation of mass to a chemical, there is no atom neither destroyed from the reactant side nor created in the product, so the number of elements in the reactant is equal to the number of elements in the product. This is the theory behind balancing chemical equations.
We have been given a chemical equation to solve. We have been given the equation in words and we need to use the appropriate compound symbols and name and complete the balanced equation. The question given to us is
 $ Barium\text{ }Chloride+Potassium\text{ }Sulphate=Barium\text{ }Sulphate+Potassium\text{ }Chloride. $
The balanced Chemical reaction is $ BaC{{l}_{2}}+{{K}_{2}}S{{O}_{4}}\to BaS{{O}_{4}}+2KCl. $

Note :
Remember that the When we are taking a number of elements, if the element has both subscript and coefficient in order to get a number of elements we should multiply subscript and coefficient. Only one simple principle is that the number of a particular element in the reactant should be equal to the number of elements in the product.