A sample of a hydrate of barium chloride weighing 61 g was heated until all the water of hydration is removed. The dried sample weighed 52 g. The formula of the hydrated salt is : (atomic mass, Ba=137 amu, Cl=35.5 amu)
BaCl2.H2O
BaCl2.2H2O
BaCl2.3H2O
BaCl2.4H2O
Given
The dried sample of BaCl2 is 52g.
Thus moles of BaCl2 = 52/208
= 0.25 moles
Now, the weight of hydrated barium chloride = 61g
Thus, the weight of water in the sample = 61 - 52
= 9g
Thus moles of water = 9 / 18
= 0.5 moles
We know in 52g of BaCl2 9g gram of water is present
Now, in 0.25 mole of BaCl2 0.5 mole of water is present
let's write chemical formula-
0.25BaCl2.0.5H2O
in simple form
1/4BaCl2.1/2H2O
it can written as BaCl2.4/2H2O == BaCl2.2H2O
Thus, the formula of the compound is BaCl2.2H2O
Therefore, Option(2) is correct