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How many moles are there in $24$ gram of $\text{Fe}{{\text{F}}_{\text{3}}}?$

Last updated date: 09th Apr 2024
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MVSAT 2024
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Hint: Moles are calculated from the molecular weight. The mole is the unit of measurement for the amount of substance in the international system of units. It is defined as exactly $6.022\times {{10}^{23}}$ particles, which may be atoms, molecules, ions or electrons. The mole is widely used in chemistry as a connectional way to express amounts of red ants and products.

Complete step by step answer:
The number of grams of a mole is equal to the formula weight of a compound in atomic units.
Formula mass of substance can be calculated by summing the average atomic masses of all the atoms represented in the formula, here $\text{Fe}{{\text{F}}_{\text{3}}}$ .
We have the formula
Number of moles \[=\dfrac{\text{Mass of substance}}{\text{Mass of one mole}}\]
Mass of one mole $=$ molecular mass $=55.8+19+19+19=112.8$ g/mol
Therefore number of moles in $24$ grams of $\text{Fe}{{\text{F}}_{\text{3}}}$can be calculated as
Number of moles $=\dfrac{24}{112.8}=0.213$
Therefore $0.213$ moles are there in $24$ grams of $\text{Fe}{{\text{F}}_{\text{3}}}$.
Since Fe has molecular weight or atomic mass $=55.84$ & Fluorine has atomic mass $19.$ The average sum of mass of the $\text{Fe}{{\text{F}}_{\text{3}}}$comes out to be $112.8$ g/mol.

Additional Information:
The mole can also be used to measure the amount of atoms, ions, electrons, or other entities. The concentration of a solution is commonly expressed by its morality, defined as the amount of dissolved substance in mole per unit volume of solution, for which the unit typically used in moles per litre .
The term gram-molecule (gmol) was formerly used for mole of molecules and gram atom for mole of atoms. The history of the mole is intertwined with that of molecular, mass, atomic mass unit, and the Avogadro number. The Avogadro constant $NA$ is related to other physical constants and properties.
1. It relates molar gas constant & the Boltzman constant ${{K}_{B}}$
2. It relates the faraday constant $F$ and the elementary charge e.
3. It relates the molar mass constant, $Mu$ & atomic mass unit $mu.$
The Avogadro constant also relates the molar volume of a substance to the average volume nominally occupied by one of its particles, when both expressed in the same units volume.

Note: In a solid the constituted particles are fixed and bound in a lattice arrangement, yet they may be separable without losing their chemical identity. Thus the solid is a compound of a certain number of moles of such particles. In other cases, such as diamond, the entire crystal is essentially a single molecule, the mole is still used to express the number of atoms bound together, rather than a count of multiple molecules. The official mole is based on an outdated continuum concept of matter. The mole is not a true metric unit, rather it is a parametric unit, and amount of substance is a parametric base quantity. The Avogadro constant also related the molar volume of substance to the average volume nominally occupied by one of its particles, when both are expressed in the same unit of volume. The mass of one mole of any substance in N times the average of one of its constituent particles.
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