Mole Concept: What is Mole, Formula, Definition

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The mole concept refers to the atomic mass of a mole that is measured in grams. The gram atomic mass of an element is known as a mole. The mole concept combines the mass of a single atom or molecule in a.m.u. to the mass of a large group of comparable molecules in grams. Atomic mass is the mass of a single atom, whereas molecular mass is the mass of a group of atoms. 

Key Terms: Molecules, Atom, Molar Mass, Molecular Mass, Atomic mass unit, Gram Atomic Mass, Mole Concept, Molar Concept


What is a Mole?

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A mole is an amount of unit that can be seen similar to familiar units such as a pair, gross, dozen etc.It offers a specific measure of the count of atoms or molecules present in a sample bulk matter.It gives a precise count of the number of atoms or molecules in a large amount of stuff. A mole is defined as the amount of substance that has the same number of discrete entities (atoms, molecules, ions, etc.) as the number of atoms in a 12 g sample of pure 12C. The word "mole" has a Latin sense of "great mass" or "bulk," which fits with its use as the name for this unit. A mole is a unit of measurement that connects an easily measurable macroscopic attribute, bulk mass, to a fundamental property, the number of atoms, molecules, and so on.

The number of entities that make up a mole has been found empirically to be 6.02214179×10²³, a basic constant known as Avogadro's number (NA) or the Avogadro constant after Italian mathematician Amedeo Avogadro. This constant should be expressed in terms of "per mole," with a simple rounded variant of 6.022 ×10²³ /mol.

Read More - Mole Fraction

The Formula of Mole Concept

The number of units that make up a mole has been calculated to be 6.022 ×10²³. The fundamental constant is also known as Avogadro's number (NA) or Avogadro constant. This constant is appropriately represented in chemistry using an explicit unit termed per mole.

Number of Moles = (Mass of the Sample)/(Molar Mass)
 

Mole concept
Mole Concept


 


Applications of Mole

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Applications of Mole are-

  • Moles are helpful in determining the chemical reaction on a macroscopic level. For example, When a mole of water undergoes decomposition, it is likely to release atleast 1 mole of hydrogen gas and 0.5 moles of oxygen.
  • Mole concept is useful in defining the molarity of a substance. Molarity is the number of moles of a solute contained in a 1-litre of a solution.
  • There is also the concept of molality. Molality also depends on the number of moles. The molality of any substance can be determined using the number of moles contained in 1 kilogram of a solvent.

What is a Molar Mass?

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The mass of a specific substance divided by the quantity of that substance in the sample is the molar mass of a compound. The property of a substance is bulk, not molecular. The molar mass is the average of the compound's multiple instances, which vary in mass due to the existence of isotopes. The most common method for calculating molar mass is to use quality atomic weights, which is a terrestrial average and a function of the relative abundance of isotopes of the constituent atoms on Earth.

Molar Mass= Mass of given substance/amount of substance

The molar mass is an important feature of a material that is independent of the sample's dimensions. The bottom unit of molar mass in the Systeme International d'Unites de Units (SI) is kg/mol. However, molar masses are almost generally stated in g/mol for historical reasons.
 

Molar mass of an Element

Molar Mass of an element (or compound) is the mass in grams of 1 mole of that substance, a property expressed which is expressed in units of grams per mole (g/mol).

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Gram Atomic and Molecular Mass

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A substance's gram atomic mass is defined as the amount of substance in grams whose numerical value is the same as the atomic mass of that matter. The mass of a unit mole of an element appears to equal the gram atomic mass. It can be calculated using the element's atomic weight from the periodic table and expressed in grams. For example, iron (Fe) has a gram atomic mass of 55.845 g due to its atomic weight of 55.845 u. As a result, each mole of iron atoms has a mass of 55.845 g.

Number of gram atoms=mass of the element (g)/Atomic mass of the element (g)

Any substance's gram molecular mass is defined as the amount of substance in grams whose numerical value is equal to the molecular mass of that substance. The mass of a unit mole of molecular material in grams is known as gram molecular mass. It's the same as molar mass. The main distinction is that the gram molecular mass implies that the mass unit must be used. It could be expressed in grams per mole or grams (g).
 

Molecular Mass
Molecular Mass

Read More - Atomic And Molecular Masses


Composition of Mass

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Mass percentage present in a particular composition of a substance by dividing the mass of a particular substance by its total mass. For example if we take butane (C4H10)

Total mass present in a single mole of butane = 58.123

Hydrogen mass present in a single butane mole = 10.0794

Hence the percentage of hydrogen mass present in butane = (10.079/58.123)*100

= 17.3


Things to Remember

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  • On a macroscopic level, moles can be utilized to illustrate a chemical reaction. Decomposition of a mole of water, for example, produces 0.5 moles of oxygen and a mole of hydrogen gas.
  • The idea of a mole is used to calculate a substance's molarity. The number of moles of a solute present in a one-liter volume of a solution is known as molarity.
  • Molality is a notion that, like molarity, is based on the number of moles. The number of moles present in one kilogram of a solvent is known as the molality of a material.
  • Each molecule of H2contains two electrons, and one mole of H2 comprises 6.022 ×10²³ molecules.

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Sample Questions

Ques. Calculate the molecular mass of Ammonium Sulphate (NH4)2SO4. (2 marks)

Ans. Since, the relative atomic masses of N = 14, H = 1, S = 32, O =16

Therefore, the molecular mass of the given compound is,

= 2 (14 × 1 + 1 × 4)+ 32 + 16 × 4

= 2(14+4)+32+64

= 2 × 18+32+64

= 36+32+64

= 132 amu

Ques. The molecular mass of H2SO4 is 98 a.m.u. What does it mean? Ques. How many molecules of water are present in 36 grams of water? (3 marks)

Ans. It means that one molecule of H2SO4 is 98 times heavier than a C-12 atom of the same mass.

The molar mass of water is 18 (approximately). Therefore, 36 grams of water makes up a total of 2 moles. Each mole has 6.022 ×10²³ water molecules. The total number of H2O molecules in 36 grams of water is 12.0446.×10²³

Ques. Calculate the number of atoms present in 18g of H2O. (2 marks)

Ans. The 18 g of H2O ⇒ 1 mole of H2O ⇒ NA molecules

Now, 1 molecule of H2O contains 3 atoms

⇒ 1 mole H2O will contain 3*NA atoms = 3 × 6.022 × 10²³ atoms = 18.066 × 10²³ atoms.

Ques. How many moles are present in 200g of NaOH? (2 marks)

Ans. The mass of 1 mole of NaOH = 23 + 16 + 1= 40 g

Therefore, in 200g of NaOH the number of moles present = 200g / 40g mol-1 = 5 mol

Ques. Calculate the mass of an atom of oxygen element. (2 marks)

Ans. Mass of 1 mole of oxygen = 16g

No. of atoms in 1 mole of oxygen = NA

Therefore, mass of one atom of oxygen = 16g / NA = 16 / (6.022×10²³) = 2.657 × 10¯²³ g

Ques. How many moles of iron are present in a pure sample weighing 558.45 grams? (1 marks)

Ans. The molar mass of iron is 55.845 g/mol. Therefore, the number of moles of iron in the pure sample weighing 558.45 grams is:

= 10 moles.

Ques. Is mole fraction equal to partial pressure? (2 marks)

Ans. The partial pressure of any gas in a mixture is proportional to its mole fraction. The pressure exerted by each gas in the gas mixture (its partial pressure) is independent of the pressure exerted by all other gases in the combination.

Ques. What is the importance of the mole concept? Why do we use mole fraction? (4 marks)

Ans. The mole definition pervades all aspects of chemistry. Because most quantitative chemical calculations are based on the mole, an understanding of the mole is essential for the study of chemistry. Understanding how the mole applies to mass and the number of entities.

The mole fraction is calculated by dividing the total number of molecules (or moles) in the mixture by the number of single component molecules (or moles). The mole fraction is useful when two reactive components are combined because the ratio of the two components can be understood if the mole fraction of each component is known.

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