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Question: How many moles are present in \(34\) grams of \[Cu{{\left( OH \right)}_{2}}\] ?...

How many moles are present in 3434 grams of Cu(OH)2Cu{{\left( OH \right)}_{2}} ?

Explanation

Solution

We know that it is generally represented by symbol mol. It's generally described as a unit of measurement for amount of substance Sl where stand for International System of unit. It's defined on basis of Avogadro's number and the formula here we will use is;
Number of moles = MassMolar MassNumber\text{ }of\text{ }moles\text{ }=~\dfrac{Mass}{Molar\text{ }Mass}

Complete step-by-step answer:
A mole of substance can be defined as containing exactly 6.02214076×1056.02214076\times {{10}^{5}} particle which may be atom where 6.02214076×10236.02214076\times 10{}^\text{2}{}^\text{3} is known as Avogadro's number. Now inorder to calculate number of mole in 3434 gram of Cu(OH)2Cu{{\left( OH \right)}_{2}}we first have to calculate molecular weight of Cu(OH)2Cu{{\left( OH \right)}_{2}}.

The molecular weight of substance is defined as weight in atomic mass units of each atom in a given formula where atomic mass unit is described as 13\dfrac{1}{3} mole. The molecular weight of material is required to tell us individually how many grams are there in one mole of that chemical substance.

Molecular weight of Cu(OH)2 = !!!! 63.55 + [2(16)] +[2(1.01)] !!!! = 97.57 gmolCu{{\left( OH \right)}_{2}}\text{ }=\text{ }\\!\\!\\{\\!\\!\text{ }63.55\text{ }+\text{ }\left[ 2\left( 16 \right) \right]\text{ }+\left[ 2\left( 1.01 \right) \right]\text{ }\\!\\!\\}\\!\\!\text{ }=\text{ }97.57\text{ }\dfrac{g}{mol}

This defines that 34g of  Cu(OH)2  = 1 mole of substance34g\,of\, \text{ }Cu{{\left( OH \right)}_{2}}\text{ } \text{ }=\text{ }1\text{ }mole\text{ }of\text{ }substance

Thus by formula, Number of moles = MassMolar MassNumber\text{ }of\text{ }moles\text{ }=~\dfrac{Mass}{Molar\text{ }Mass}
We have the value of mass and molar mass and by substituting and dividing them we get the total number of moles present in Cu(OH)2Cu{{\left( OH \right)}_{2}}
⇒3497.57\Rightarrow \dfrac{34}{97.57}
⇒0.348\Rightarrow 0.348

Therefore, there are 0.348moles0.348moles in 3434 grams of Cu(OH)2Cu{{\left( OH \right)}_{2}}

Note: Note that few things about copper hydroxide are also called cupric hydroxide which pale blue precipitate produces when the sodium hydroxide is added into excess solution of copper salt. Copper hydroxide is crystalline and it is also an inert compound used for preparing salts of wide variety.