35.79 of cr2 (X2O4)3.6H20 contains 8.19H20.what is the atomic wight of x
To find the atomic weight of X in the compound Cr2(X2O4)3.6H2O, we need to use the given information.
First, let's break down the formula of the compound:
Cr2(X2O4)3.6H2O
This tells us that there are two chromium atoms (Cr2), three molecules of X2O4, and 6 molecules of water (H2O).
Next, we have the given information that 35.79% of this compound is made up of 8.19 grams of water (H2O). Therefore, we can calculate the total weight of the compound by dividing the given weight by the given percentage:
Total weight of the compound = (Given weight of H2O) / (Given percentage of H2O)
Total weight of the compound = 8.19 g / 0.3579 (35.79%)
Now, let's calculate the total weight of the compound:
Total weight of the compound = 22.874 g
Since we know the total weight of the compound and the weight of the water (H2O), we can subtract the weight of water from the total weight to determine the weight of the remaining compound:
Weight of the remaining compound = Total weight of the compound - Weight of H2O
Weight of the remaining compound = 22.874 g - 8.19 g
Weight of the remaining compound = 14.684 g
Now, since Cr2(X2O4)3 is a complex ion with a charge of 3-, we can assume that the remaining compound has a total charge of 3-.
Given that the remaining compound is Cr2(X2O4)3.6H2O and its total charge is 3-, the charge contributed by the water (H2O) is zero. Hence, the total charge of the remaining compound is also 3-.
The formula weight of the remaining compound can be calculated by converting the mass into moles:
Moles of the remaining compound = Weight of the remaining compound / Formula weight of the remaining compound
Since we know the number of moles of the remaining compound, and we can determine the number of moles of X2O4, we can also determine the number of moles of X in the compound.
From the balanced formula of Cr2(X2O4)3, we can deduce that there are three molecules of X2O4 for each compound. So:
Moles of X = Moles of the remaining compound * (3 moles of X2O4 / 1 mole of remaining compound)
Now, to find the atomic weight (molar mass) of X, we divide the weight of X by the number of moles of X:
Atomic weight of X = Weight of X / Moles of X
By performing these calculations, we can determine the atomic weight of X in the compound Cr2(X2O4)3.6H2O.