Molarity using Mole Fraction Calculator

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✖Mole Fraction of Solute is the ration of the number of moles of the solute to the total number of moles of the solute and solvent.ⓘ Mole Fraction Of Solute [x₁]			+10% -10%
✖The density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.ⓘ Density [ρ]			+10% -10%
✖Mole Fraction Of Solvent is the ratio of the number of moles of solvent to the total number of moles of solute and solvent.ⓘ Mole Fraction Of Solvent [x₂]			+10% -10%
✖Molar Mass Of The Solvent is the molar mass of medium in which the solute is dissolved.ⓘ Molar Mass Of The Solvent [M₂]			+10% -10%
✖Molar Mass of the Solute is the molar mass of the substance dissolved in the solution.ⓘ Molar Mass of the Solute [M₁]			+10% -10%

✖Molarity of a given solution is defined as the total number of moles of solute per litre of solution.ⓘ Molarity using Mole Fraction [M]

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Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

Anirudh Singh has created this Calculator and 200+ more calculators!

Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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Molarity using Mole Fraction Solution

STEP 0: Pre-Calculation Summary

Formula Used

molarity = (Mole Fraction Of Solute*Density*1000)/(Mole Fraction Of Solvent*Molar Mass Of The Solvent+Mole Fraction Of Solute*Molar Mass of the Solute)
M = (x₁*ρ*1000)/(x₂*M₂+x₁*M₁)
This formula uses 5 Variables

Variables Used

Mole Fraction Of Solute- Mole Fraction of Solute is the ration of the number of moles of the solute to the total number of moles of the solute and solvent.
Density - The density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object. (Measured in Kilogram per Meter³)
Mole Fraction Of Solvent- Mole Fraction Of Solvent is the ratio of the number of moles of solvent to the total number of moles of solute and solvent.
Molar Mass Of The Solvent - Molar Mass Of The Solvent is the molar mass of medium in which the solute is dissolved. (Measured in Kilogram)
Molar Mass of the Solute - Molar Mass of the Solute is the molar mass of the substance dissolved in the solution. (Measured in Kilogram)

STEP 1: Convert Input(s) to Base Unit

Mole Fraction Of Solute: 10 --> No Conversion Required
Density: 997 Kilogram per Meter³ --> 997 Kilogram per Meter³ No Conversion Required
Mole Fraction Of Solvent: 0.1 --> No Conversion Required
Molar Mass Of The Solvent: 10 Kilogram --> 10 Kilogram No Conversion Required
Molar Mass of the Solute: 10 Kilogram --> 10 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M = (x₁*ρ*1000)/(x₂*M₂+x₁*M₁) --> (10*997*1000)/(0.1*10+10*10)

Evaluating ... ...

M = 98712.8712871287

STEP 3: Convert Result to Output's Unit

98712.8712871287 Mole per Meter³ -->98.7128712871287 Mole per Liter (Check conversion here)

FINAL ANSWER

98.7128712871287 Mole per Liter <-- Molarity

(Calculation completed in 00.016 seconds)

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Mole fraction of solute in terms of molarity

mole_fraction_of_solute_in_terms_of_molarity = (Molarity*Molar mass of solvent*1000)/((Density of solution*1000)-(Molarity*Molar mass of solute)) Go

Molarity when molality of solution is given

molarity_when_molality_of_solution_is_given = (Molality*Density of solution*1000)/(1000+( Molality*Molar mass of solute)) Go

Mole fraction of component 1 in a binary solution

mole_fraction_of_component_1 = Moles of component 1/(Moles of component 1+Moles of component 2) Go

Molarity of substance

molarity = Mass of Solute/(Molecular Mass Solute*Volume of Solution) Go

Mole fraction of solvent when molality is given

mole_fraction_of_solvent = 1000/(1000+(Molality*Molar mass of solvent)) Go

Hardness of water

hardness = (Mass Of Calcium Carbonate/Mass Of Water)*10^6 Go

Molality using no. of moles and mass of solvent

molality = Number of Moles of Solute/Mass Of Solvent Go

Number of moles of solute using molality

number_of_moles_of_solute = Molality*Mass Of Solvent Go

Mass of solvent using molality

mass_of_solvent = Number of Moles of Solute/Molality Go

Molarity in terms of normality and valency factor

molarity = Normality/N Factor Go

Molarity using Mole Fraction Formula

molarity = (Mole Fraction Of Solute*Density*1000)/(Mole Fraction Of Solvent*Molar Mass Of The Solvent+Mole Fraction Of Solute*Molar Mass of the Solute)
M = (x₁*ρ*1000)/(x₂*M₂+x₁*M₁)

What is stoichiometry?

Stoichiometry is founded on the law of conservation of mass where the total mass of the reactants equals the total mass of the products, leading to the insight that the relations among quantities of reactants and products typically form a ratio of positive integers.

How to Calculate Molarity using Mole Fraction?

Molarity using Mole Fraction calculator uses molarity = (Mole Fraction Of Solute*Density*1000)/(Mole Fraction Of Solvent*Molar Mass Of The Solvent+Mole Fraction Of Solute*Molar Mass of the Solute) to calculate the Molarity, The Molarity Using Mole Fraction formula is defined as the number of moles of the solute dissolved in unit volume of the solution. The SI Unit of molarity is moles/liter. Molarity and is denoted by M symbol.

How to calculate Molarity using Mole Fraction using this online calculator? To use this online calculator for Molarity using Mole Fraction, enter Mole Fraction Of Solute (x₁), Density (ρ), Mole Fraction Of Solvent (x₂), Molar Mass Of The Solvent (M₂) and Molar Mass of the Solute (M₁) and hit the calculate button. Here is how the Molarity using Mole Fraction calculation can be explained with given input values -> 98.71287 = (10*997*1000)/(0.1*10+10*10).

FAQ

What is Molarity using Mole Fraction?

The Molarity Using Mole Fraction formula is defined as the number of moles of the solute dissolved in unit volume of the solution. The SI Unit of molarity is moles/liter and is represented as M = (x₁*ρ*1000)/(x₂*M₂+x₁*M₁) or molarity = (Mole Fraction Of Solute*Density*1000)/(Mole Fraction Of Solvent*Molar Mass Of The Solvent+Mole Fraction Of Solute*Molar Mass of the Solute). Mole Fraction of Solute is the ration of the number of moles of the solute to the total number of moles of the solute and solvent, The density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object, Mole Fraction Of Solvent is the ratio of the number of moles of solvent to the total number of moles of solute and solvent, Molar Mass Of The Solvent is the molar mass of medium in which the solute is dissolved and Molar Mass of the Solute is the molar mass of the substance dissolved in the solution.

How to calculate Molarity using Mole Fraction?

The Molarity Using Mole Fraction formula is defined as the number of moles of the solute dissolved in unit volume of the solution. The SI Unit of molarity is moles/liter is calculated using molarity = (Mole Fraction Of Solute*Density*1000)/(Mole Fraction Of Solvent*Molar Mass Of The Solvent+Mole Fraction Of Solute*Molar Mass of the Solute). To calculate Molarity using Mole Fraction, you need Mole Fraction Of Solute (x₁), Density (ρ), Mole Fraction Of Solvent (x₂), Molar Mass Of The Solvent (M₂) and Molar Mass of the Solute (M₁). With our tool, you need to enter the respective value for Mole Fraction Of Solute, Density, Mole Fraction Of Solvent, Molar Mass Of The Solvent and Molar Mass of the Solute and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Molarity?

In this formula, Molarity uses Mole Fraction Of Solute, Density, Mole Fraction Of Solvent, Molar Mass Of The Solvent and Molar Mass of the Solute. We can use 10 other way(s) to calculate the same, which is/are as follows -

mass_of_solvent = Number of Moles of Solute/Molality
mole_fraction_of_solvent = 1000/(1000+(Molality*Molar mass of solvent))
mole_fraction_of_solute_in_terms_of_molarity = (Molarity*Molar mass of solvent*1000)/((Density of solution*1000)-(Molarity*Molar mass of solute))
mole_fraction_of_component_1 = Moles of component 1/(Moles of component 1+Moles of component 2)
molarity = Normality/N Factor
molarity = Mass of Solute/(Molecular Mass Solute*Volume of Solution)
molarity_when_molality_of_solution_is_given = (Molality*Density of solution*1000)/(1000+( Molality*Molar mass of solute))
number_of_moles_of_solute = Molality*Mass Of Solvent
molality = Number of Moles of Solute/Mass Of Solvent
hardness = (Mass Of Calcium Carbonate/Mass Of Water)*10^6

Where is the Molarity using Mole Fraction calculator used?

Among many, Molarity using Mole Fraction calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}

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