The hydrated salt Na 2 SO 4 .nH 2 O loses all water of crystallization on heating and is reduced to 44.1% of its original weight. Therefore, the value n is
Text Solution
Verified by ExpertsB
To determine the value of
in the hydrated salt
, we need to follow these
steps:
1.Calculate the molar mass of the anhydrous salt
.
2.Express the given information about the loss of water in terms of the masses.
3.Determine the value of
by using the given weight reduction percentage.
Step 1: Calculate the molar mass of
The molar mass of
is calculated as follows:
Sodium (Na): 
Sulfur (S): 
Oxygen 
Thus, the molar mass of
is
.
Step 2: Express the weight reduction information
We know that the hydrated salt
loses all water upon heating and is reduced to
of its original weight. This means that the anhydrous salt makes up
of the total weight of the hydrated salt.
Step 3: Calculate the molar mass of the hydrated salt
Let the molar mass of
be
, where
is the molar mass of water.
According to the problem:

Step 4: Solve for
Rearrange and solve the equation for
:

Thus, the value of
is approximately 10.
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