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Density of Solution using Molarity of Solution Calculator

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✖Molarity of a given solution is defined as the total number of moles of solute per litre of solution.ⓘ Molarity [Mol]			+10% -10%
✖The mole fraction of solute in a binary solution formula is defined as the ratio of the number of moles a solute to that of the total number of moles of components present in the solution.ⓘ Mole fraction of solute [x_solute]			+10% -10%
✖Molar Mass of Solute is the mass of a solute divided by the amount of solute present.ⓘ Molar Mass of Solute [M_solute]			+10% -10%
✖The Molar Mass of Solvent is the mass of a solute divided by the amount of solute present.ⓘ Molar Mass of Solvent [M_solvent]			+10% -10%

✖The Density of Solution is a relative measurement of the mass of an object compared against the space that it occupies.ⓘ Density of Solution using Molarity of Solution [ρ_sol]

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Formula

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Density of Solution using Molarity of Solution

Formula

ρ sol = (\frac{Mol}{x solute \cdot 1000}) \cdot ((M solute \cdot x solute) + (M solvent \cdot (1 - x solute)))

Example

30.525 g/L = (\frac{55.5 mol/L}{0.5 \cdot 1000}) \cdot ((250 g \cdot 0.5) + (300 g \cdot (1 - 0.5)))

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Density of Solution using Molarity of Solution Solution

STEP 0: Pre-Calculation Summary

Formula Used

Density of Solution = (Molarity/(Mole fraction of solute*1000))*((Molar Mass of Solute*Mole fraction of solute)+(Molar Mass of Solvent*(1-Mole fraction of solute)))
ρ_sol = (Mol/(x_solute*1000))*((M_solute*x_solute)+(M_solvent*(1-x_solute)))
This formula uses 5 Variables

Variables Used

Density of Solution - (Measured in Kilogram per Cubic Meter) - The Density of Solution is a relative measurement of the mass of an object compared against the space that it occupies.
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 - The mole fraction of solute in a binary solution formula is defined as the ratio of the number of moles a solute to that of the total number of moles of components present in the solution.
Molar Mass of Solute - (Measured in Kilogram) - Molar Mass of Solute is the mass of a solute divided by the amount of solute present.
Molar Mass of Solvent - (Measured in Kilogram) - The Molar Mass of Solvent is the mass of a solute divided by the amount of solute present.

STEP 1: Convert Input(s) to Base Unit

Molarity: 55.5 Mole per Liter --> 55500 Mole per Cubic Meter (Check conversion here)
Mole fraction of solute: 0.5 --> No Conversion Required
Molar Mass of Solute: 250 Gram --> 0.25 Kilogram (Check conversion here)
Molar Mass of Solvent: 300 Gram --> 0.3 Kilogram (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ_sol = (Mol/(x_solute*1000))*((M_solute*x_solute)+(M_solvent*(1-x_solute))) --> (55500/(0.5*1000))*((0.25*0.5)+(0.3*(1-0.5)))

Evaluating ... ...

ρ_sol = 30.525

STEP 3: Convert Result to Output's Unit

30.525 Kilogram per Cubic Meter -->30.525 Gram per Liter (Check conversion here)

FINAL ANSWER

30.525 Gram per Liter <-- Density of Solution

(Calculation completed in 00.004 seconds)

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Density of Solution using Molarity of Solution Formula

What is molarity?

Molarity is the amount of a substance in a certain volume of solution. Molarity is defined as the moles of a solute per liters of a solution. Molarity is also known as the molar concentration of a solution. It is denoted by the symbol M. The units of molarity are M or mol/L. A 1 M solution is said to be “one molar.”

How to Calculate Density of Solution using Molarity of Solution?

Density of Solution using Molarity of Solution calculator uses Density of Solution = (Molarity/(Mole fraction of solute*1000))*((Molar Mass of Solute*Mole fraction of solute)+(Molar Mass of Solvent*(1-Mole fraction of solute))) to calculate the Density of Solution, The Density of solution using molarity of solution formula can be expressed by using molarity, the mole fraction of solute, and molar masses of the solute and solvent. Density of Solution is denoted by ρ_sol symbol.

How to calculate Density of Solution using Molarity of Solution using this online calculator? To use this online calculator for Density of Solution using Molarity of Solution, enter Molarity (Mol), Mole fraction of solute (x_solute), Molar Mass of Solute (M_solute) & Molar Mass of Solvent (M_solvent) and hit the calculate button. Here is how the Density of Solution using Molarity of Solution calculation can be explained with given input values -> 30.525 = (55500/(0.5*1000))*((0.25*0.5)+(0.3*(1-0.5))).

FAQ

What is Density of Solution using Molarity of Solution?

The Density of solution using molarity of solution formula can be expressed by using molarity, the mole fraction of solute, and molar masses of the solute and solvent and is represented as ρ_sol = (Mol/(x_solute*1000))*((M_solute*x_solute)+(M_solvent*(1-x_solute))) or Density of Solution = (Molarity/(Mole fraction of solute*1000))*((Molar Mass of Solute*Mole fraction of solute)+(Molar Mass of Solvent*(1-Mole fraction of solute))). Molarity of a given solution is defined as the total number of moles of solute per litre of solution, The mole fraction of solute in a binary solution formula is defined as the ratio of the number of moles a solute to that of the total number of moles of components present in the solution, Molar Mass of Solute is the mass of a solute divided by the amount of solute present & The Molar Mass of Solvent is the mass of a solute divided by the amount of solute present.

How to calculate Density of Solution using Molarity of Solution?

The Density of solution using molarity of solution formula can be expressed by using molarity, the mole fraction of solute, and molar masses of the solute and solvent is calculated using Density of Solution = (Molarity/(Mole fraction of solute*1000))*((Molar Mass of Solute*Mole fraction of solute)+(Molar Mass of Solvent*(1-Mole fraction of solute))). To calculate Density of Solution using Molarity of Solution, you need Molarity (Mol), Mole fraction of solute (x_solute), Molar Mass of Solute (M_solute) & Molar Mass of Solvent (M_solvent). With our tool, you need to enter the respective value for Molarity, Mole fraction of solute, Molar Mass of Solute & Molar Mass of Solvent 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 Density of Solution?

In this formula, Density of Solution uses Molarity, Mole fraction of solute, Molar Mass of Solute & Molar Mass of Solvent. We can use 1 other way(s) to calculate the same, which is/are as follows -

Density of Solution = (Molarity/(Molality*1000))*(1000+(Molar Mass of Solvent*Molality))

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