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Question: What is the mass of \({H_2}O\) in \(1000kg\) of \(CuS{O_4}.10{H_2}O\) ? (Atomic weight of \(Cu = 63....

What is the mass of H2O{H_2}O in 1000kg1000kg of CuSO4.10H2OCuS{O_4}.10{H_2}O ? (Atomic weight of Cu=63.5Cu = 63.5 ).

Explanation

Solution

We have to know that mass is the measure of issue in an article. Move to an alternate planet and an item's weight will change, however its mass will be something similar. There are few different ways to gauge mass. The most well-known technique is to utilize an equilibrium.

Complete answer:
The balanced chemical equation is given below,
CuSO4.10H2OCuSO4+10H2OCuS{O_4}.10{H_2}O \to CuS{O_4} + 10{H_2}O
We have to know that, in the given details,
The mass of CuSO4.10H2OCuS{O_4}.10{H_2}O = 1000kg1000kg
First we have to calculate the number of moles of CuSO4.10H2OCuS{O_4}.10{H_2}O .
By using the following expression,
No. of moles = MassMolarmassNo.{\text{ of moles = }}\dfrac{{Mass}}{{Molarmass}}
Where,
Mass = 1000kg1000kg
Molar mass of CuSO4.10H2OCuS{O_4}.10{H_2}O = 339.76339.76
Applying both the values in the above mole formula,
No. of moles = 1000339.76=2.94mol (kilo moles)No.{\text{ of moles = }}\dfrac{{1000}}{{339.76}} = 2.94mol{\text{ }}\left( {kilo{\text{ moles}}} \right)
Now, we have to calculate the number of moles of water. The number of moles of CuSO4.10H2OCuS{O_4}.10{H_2}O is multiplied by the value ten, then, we have to get the number of moles of water.
No. of moles of H2O=10×2.94=29.4mol (kilo moles)No.{\text{ of moles of }}{{\text{H}}_2}O = 10 \times 2.94 = 29.4mol{\text{ }}\left( {kilo{\text{ moles}}} \right)
Therefore,
The number of moles of water molecules is 29.4mol29.4mol .
Finally, we have to calculate the mass of water.
By using the following expression,
Mass=No. of moles×Molar massMass = No.{\text{ of moles}} \times {\text{Molar mass}}
Where,
The number of moles = 29.4mol29.4mol
The molar mass of water = 1818
Applying both the values in the above mass expression,
Mass of H2O=29.4×18=529.78kgMass{\text{ of }}{{\text{H}}_2}O = 29.4 \times 18 = 529.78kg .
Hence, the mass of water is 529.78kg529.78kg .

Note:
We have to know that the mole unit is vital and valuable in science. It is the foundation of stoichiometry and it is giving the most-ideal choice to communicating measures of reactants and items devoured and shaped during any synthetic response. We may compose every one of the synthetic responses as a mole connection.