Molarity using Mole Fraction Calculator

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Molality

✖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 [x_solute]			+10% -10%
✖Density of Water is the weight of the water per its unit volume, which depends on the temperature.ⓘ Density of water [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%
✖The Molar Mass of Solvent is the molar mass of the medium in which the solute is dissolved.ⓘ Molar Mass of Solvent [M_solvent]			+10% -10%
✖The Molar Mass of Solute is the molar mass of the substance dissolved in the solution.ⓘ Molar Mass of 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 [Mol]

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Formula

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Molarity using Mole Fraction

Formula

`"Mol" = ("x"_{"solute"}*"ρ"*1000)/("x"_{"2"}*"M"_{"solvent"}+"x"_{"solute"}*"M"_{"1"})`

Example

`"22976.13mol/L"=("1.4"*"997g/L"*1000)/("0.19"*"25g"+"1.4"*"40g")`

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Molarity using Mole Fraction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Molarity = (Mole Fraction of Solute*Density of water*1000)/(Mole Fraction of Solvent*Molar Mass of Solvent+Mole Fraction of Solute*Molar Mass of Solute)
Mol = (x_solute*ρ*1000)/(x₂*M_solvent+x_solute*M₁)
This formula uses 6 Variables

Variables Used

Molarity - (Measured in Mole per Cubic Meter) - Molarity of a given solution is defined as the total number of moles of solute per litre of solution.
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 of water - (Measured in Kilogram per Cubic Meter) - Density of Water is the weight of the water per its unit volume, which depends on the temperature.
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 Solvent - (Measured in Kilogram) - The Molar Mass of Solvent is the molar mass of the medium in which the solute is dissolved.
Molar Mass of Solute - (Measured in Kilogram) - The Molar Mass of Solute is the molar mass of the substance dissolved in the solution.

STEP 1: Convert Input(s) to Base Unit

Mole Fraction of Solute: 1.4 --> No Conversion Required
Density of water: 997 Gram per Liter --> 997 Kilogram per Cubic Meter (Check conversion here)
Mole Fraction of Solvent: 0.19 --> No Conversion Required
Molar Mass of Solvent: 25 Gram --> 0.025 Kilogram (Check conversion here)
Molar Mass of Solute: 40 Gram --> 0.04 Kilogram (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Mol = (x_solute*ρ*1000)/(x₂*M_solvent+x_solute*M₁) --> (1.4*997*1000)/(0.19*0.025+1.4*0.04)

Evaluating ... ...

Mol = 22976131.6872428

STEP 3: Convert Result to Output's Unit

22976131.6872428 Mole per Cubic Meter -->22976.1316872428 Mole per Liter (Check conversion here)

FINAL ANSWER

22976.1316872428 ≈ 22976.13 Mole per Liter <-- Molarity

(Calculation completed in 00.004 seconds)

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National Institute of Technology (NIT), Jamshedpur

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< 22 Concentration Terms Calculators

Molarity using Mole Fraction

Go Molarity = (Mole Fraction of Solute*Density of water*1000)/(Mole Fraction of Solvent*Molar Mass of Solvent+Mole Fraction of Solute*Molar Mass of Solute)

Mole Fraction of Solute given Molarity

Go Mole Fraction of Solute in terms of Molarity = (Molarity*Molar Mass of Solvent*1000)/((Density of Solution*1000)-(Molarity*Molar Mass of Solute))

Molarity given Molality of Solution

Go Molarity when Molality of Solution is given = (Molality*Density of Solution*1000)/(1000+(Molality*Molar Mass of Solute))

Mole Fraction of Solvent

Go Mole Fraction of Solvent = Number of Moles of Solvent in Solution/(Number of Moles of Solute in Solution+Number of Moles of Solvent in Solution)

Mole Fraction of Solute

Go Mole Fraction of Solute = Number of Moles of Solute in Solution/(Number of Moles of Solute in Solution+Number of Moles of Solvent in Solution)

Mole Fraction using Molarity

Go Mole Fraction of Solute = (Molarity*Molar Mass of Solvent*1000)/(1000*Density of water*Molar Mass of Solute)

Mole Fraction using Molality

Go Mole Fraction of Solute = (Molality*Molar Mass of Solvent)/(1000+Molality*Molar Mass of Solvent)

Mole Fraction of Component 1 in Binary Solution

Go Mole fraction of component 1 = Moles of Component 1/(Moles of Component 1+Moles of component 2)

Molarity using Molality

Go Molarity = Density of water/((1/Molality)+(Molecular Mass Solute/1000))

Molarity of Substance

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

Molarity given Normality and Equivalent Mass

Go Molarity = Normality*(Equivalent Weight/Molar Mass in Kilogram)

Mole Fraction of Solvent given Molality

Go Mole Fraction of Solvent = 1000/(1000+(Molality*Molar Mass of Solvent))

Number of Moles of Solute using Molarity

Go Number of Moles of Acid or Base = Molarity*Volume of Solution

Molarity

Go Molarity = Number of Moles of Solute/Volume of Solution

Number of Moles of Solute using Molality

Go Number of Moles of Solute = Molality*Mass of Solvent

Mass of Solvent using Molality

Go Mass of Solvent = Number of Moles of Solute/Molality

Molarity given Normality and Number of Equivalents

Go Molarity = Normality/Number of Equivalents

Molarity using Normality and Valency Factor

Go Molarity = Normality/N Factor

Molarity given basicity and normality

Go Molarity = Normality/Basicity

Molarity given Acidity and Normality

Go Molarity = Normality/Acidity

Molarity using Volume Strength of Hydrogen Peroxide

Go Molarity = Volume Strength/11.2

Volume Strength using Molarity

Go Volume Strength = 11.2*Molarity

Molarity using Mole Fraction Formula

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 of water*1000)/(Mole Fraction of Solvent*Molar Mass of Solvent+Mole Fraction of Solute*Molar Mass of 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 is denoted by Mol 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 (x_solute), Density of water (ρ), Mole Fraction of Solvent (x₂), Molar Mass of Solvent (M_solvent) & Molar Mass of Solute (M₁) and hit the calculate button. Here is how the Molarity using Mole Fraction calculation can be explained with given input values -> 22.97613 = (1.4*997*1000)/(0.19*0.025+1.4*0.04).

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 Mol = (x_solute*ρ*1000)/(x₂*M_solvent+x_solute*M₁) or Molarity = (Mole Fraction of Solute*Density of water*1000)/(Mole Fraction of Solvent*Molar Mass of Solvent+Mole Fraction of Solute*Molar Mass 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 of Water is the weight of the water per its unit volume, which depends on the temperature, Mole Fraction of Solvent is the ratio of the number of moles of solvent to the total number of moles of solute and solvent, The Molar Mass of Solvent is the molar mass of the medium in which the solute is dissolved & The Molar Mass of 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 of water*1000)/(Mole Fraction of Solvent*Molar Mass of Solvent+Mole Fraction of Solute*Molar Mass of Solute). To calculate Molarity using Mole Fraction, you need Mole Fraction of Solute (x_solute), Density of water (ρ), Mole Fraction of Solvent (x₂), Molar Mass of Solvent (M_solvent) & Molar Mass of Solute (M₁). With our tool, you need to enter the respective value for Mole Fraction of Solute, Density of water, Mole Fraction of Solvent, Molar Mass of Solvent & Molar Mass of 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 of water, Mole Fraction of Solvent, Molar Mass of Solvent & Molar Mass of Solute. We can use 9 other way(s) to calculate the same, which is/are as follows -

Molarity = Normality/N Factor
Molarity = Mass of Solute/(Molecular Mass Solute*Volume of Solution)
Molarity = Number of Moles of Solute/Volume of Solution
Molarity = Density of water/((1/Molality)+(Molecular Mass Solute/1000))
Molarity = Volume Strength/11.2
Molarity = Normality/Acidity
Molarity = Normality/Basicity
Molarity = Normality*(Equivalent Weight/Molar Mass in Kilogram)
Molarity = Normality/Number of Equivalents

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