Molar Mass of Solvent given Cryoscopic Constant Solution

STEP 0: Pre-Calculation Summary
Formula Used
Molar Mass of Solvent = (Cryoscopic Constant*1000*Molar Enthalpy of Fusion)/([R]*Solvent Freezing Point*Solvent Freezing Point)
Msolvent = (kf*1000*ΔHfusion)/([R]*Tfp*Tfp)
This formula uses 1 Constants, 4 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Variables Used
Molar Mass of Solvent - (Measured in Gram) - The Molar Mass of Solvent is the molar mass of the medium in which the solute is dissolved.
Cryoscopic Constant - (Measured in Kelvin Kilogram per Mole) - The Cryoscopic Constant is described as the freezing point depression when a mole of non-volatile solute is dissolved in one kg of solvent.
Molar Enthalpy of Fusion - (Measured in Joule per Mole) - The Molar Enthalpy of Fusion is the amount of energy needed to change one mole of a substance from the solid phase to the liquid phase at constant temperature and pressure.
Solvent Freezing Point - (Measured in Kelvin) - Solvent Freezing Point is the temperature at which the solvent freezes from liquid to solid state.
STEP 1: Convert Input(s) to Base Unit
Cryoscopic Constant: 6.65 Kelvin Kilogram per Mole --> 6.65 Kelvin Kilogram per Mole No Conversion Required
Molar Enthalpy of Fusion: 333.5 Kilojoule per Mole --> 333500 Joule per Mole (Check conversion here)
Solvent Freezing Point: 430 Kelvin --> 430 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Msolvent = (kf*1000*ΔHfusion)/([R]*Tfp*Tfp) --> (6.65*1000*333500)/([R]*430*430)
Evaluating ... ...
Msolvent = 1442.6015262568
STEP 3: Convert Result to Output's Unit
1.4426015262568 Kilogram --> No Conversion Required
FINAL ANSWER
1.4426015262568 1.442602 Kilogram <-- Molar Mass of Solvent
(Calculation completed in 00.004 seconds)

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23 Depression in Freezing Point Calculators

Depression in Freezing Point given Vapour Pressure
Go Depression in Freezing Point = ((Vapour Pressure of Pure Solvent-Vapour Pressure of Solvent in Solution)*[R]*(Solvent Freezing Point^2))/(Vapour Pressure of Pure Solvent*Molar Enthalpy of Fusion)
Depression in Freezing Point given Elevation in Boiling Point
Go Depression in Freezing Point = (Molar Enthalpy of Vaporization*Elevation in Boiling Point*(Solvent Freezing Point^2))/(Molar Enthalpy of Fusion*(Solvent Boiling Point^2))
Relative Lowering of Vapour Pressure given Depression in Freezing Point
Go Relative Lowering of Vapour Pressure = (Molar Enthalpy of Fusion*Depression in Freezing Point)/([R]*Solvent Freezing Point*Solvent Freezing Point)
Molar Enthalpy of Fusion given Freezing point of solvent
Go Molar Enthalpy of Fusion = ([R]*Solvent Freezing Point*Solvent Freezing Point*Molar Mass of Solvent)/(1000*Cryoscopic Constant)
Cryoscopic Constant given Molar Enthalpy of Fusion
Go Cryoscopic Constant = ([R]*Solvent Freezing Point*Solvent Freezing Point*Molar Mass of Solvent)/(1000*Molar Enthalpy of Fusion)
Molar Mass of Solvent given Cryoscopic Constant
Go Molar Mass of Solvent = (Cryoscopic Constant*1000*Molar Enthalpy of Fusion)/([R]*Solvent Freezing Point*Solvent Freezing Point)
Depression in Freezing Point given Osmotic Pressure
Go Depression in Freezing Point = (Osmotic Pressure*Molar Volume*(Solvent Freezing Point^2))/(Temperature*Molar Enthalpy of Fusion)
Solvent Freezing Point given Molal Freezing Point Lowering Constant
Go Solvent Freezing Point = sqrt((Molal freezing point constant*Molal Heat of Fusion*1000)/([R]*Molecular Weight))
Freezing Point of Solvent given Cryoscopic Constant and Molar Enthalpy of Fusion
Go Solvent Freezing Point = sqrt((Cryoscopic Constant*1000*Molar Enthalpy of Fusion)/([R]*Molar Mass of Solvent))
Depression in Freezing Point given Relative Lowering of Vapour Pressure
Go Depression in Freezing Point = (Relative Lowering of Vapour Pressure*[R]*(Solvent Freezing Point^2))/Molar Enthalpy of Fusion
Solvent Molecular Weight given Molal Freezing Point Lowering Constant
Go Solvent Molecular Weight = (Molal freezing point constant*Molal Heat of Fusion*1000)/([R]*(Solvent Freezing Point^2))
Molal Freezing Point Lowering Constant
Go Molal freezing point constant = ([R]*(Solvent Freezing Point^2)*Molecular Weight)/(Molal Heat of Fusion*1000)
Latent Heat of Fusion given Freezing Point of Solvent
Go Latent Heat of Fusion = ([R]*Solvent Freezing Point*Solvent Freezing Point)/(1000*Cryoscopic Constant)
Freezing Point of Solvent given Cryoscopic Constant and Latent Heat of Fusion
Go Solvent Freezing Point = sqrt((Cryoscopic Constant*1000*Latent Heat of Fusion)/[R])
Cryoscopic Constant given Latent Heat of Fusion
Go Cryoscopic Constant = ([R]*Solvent Freezing Point for Cryoscopic Constant^2)/(1000*Latent Heat of Fusion)
Van't Hoff Factor of Electrolyte given Depression in Freezing Point
Go Van't Hoff Factor = Depression in Freezing Point/(Cryoscopic Constant*Molality)
Cryoscopic Constant given Depression in Freezing Point
Go Cryoscopic Constant = Depression in Freezing Point/(Van't Hoff Factor*Molality)
Molality given Depression in Freezing Point
Go Molality = Depression in Freezing Point/(Cryoscopic Constant*Van't Hoff Factor)
Van't Hoff equation for Depression in Freezing Point of electrolyte
Go Depression in Freezing Point = Van't Hoff Factor*Cryoscopic Constant*Molality
Molal Freezing Point Constant given Freezing Point Depression
Go Molal freezing point constant = Depression in Freezing Point/Molality
Molality given Freezing Point Depression
Go Molality = Depression in Freezing Point/Molal freezing point constant
Depression in Freezing Point of Solvent
Go Depression in Freezing Point = Cryoscopic Constant*Molality
Freezing Point Depression
Go Depression in Freezing Point = Cryoscopic Constant*Molality

Molar Mass of Solvent given Cryoscopic Constant Formula

Molar Mass of Solvent = (Cryoscopic Constant*1000*Molar Enthalpy of Fusion)/([R]*Solvent Freezing Point*Solvent Freezing Point)
Msolvent = (kf*1000*ΔHfusion)/([R]*Tfp*Tfp)

What is the Cryoscopic Constant?

It is also called molal depression constant. A cryoscopic constant is described as the freezing point depression when a mole of non-volatile solute is dissolved in one kg of solvent. The cryoscopic constant is denoted by kf. Its unit is k.kg.mol−1. It depends on the molar mass of the solute in the solution.

How to Calculate Molar Mass of Solvent given Cryoscopic Constant?

Molar Mass of Solvent given Cryoscopic Constant calculator uses Molar Mass of Solvent = (Cryoscopic Constant*1000*Molar Enthalpy of Fusion)/([R]*Solvent Freezing Point*Solvent Freezing Point) to calculate the Molar Mass of Solvent, The Molar Mass of solvent given Cryoscopic Constant is obtained by summing the molar masses of its component atoms. A cryoscopic constant is described as the freezing point depression when a mole of non-volatile solute is dissolved in one kg of solvent. Molar Mass of Solvent is denoted by Msolvent symbol.

How to calculate Molar Mass of Solvent given Cryoscopic Constant using this online calculator? To use this online calculator for Molar Mass of Solvent given Cryoscopic Constant, enter Cryoscopic Constant (kf), Molar Enthalpy of Fusion (ΔHfusion) & Solvent Freezing Point (Tfp) and hit the calculate button. Here is how the Molar Mass of Solvent given Cryoscopic Constant calculation can be explained with given input values -> 0.401976 = (6.65*1000*333500)/([R]*430*430).

FAQ

What is Molar Mass of Solvent given Cryoscopic Constant?
The Molar Mass of solvent given Cryoscopic Constant is obtained by summing the molar masses of its component atoms. A cryoscopic constant is described as the freezing point depression when a mole of non-volatile solute is dissolved in one kg of solvent and is represented as Msolvent = (kf*1000*ΔHfusion)/([R]*Tfp*Tfp) or Molar Mass of Solvent = (Cryoscopic Constant*1000*Molar Enthalpy of Fusion)/([R]*Solvent Freezing Point*Solvent Freezing Point). The Cryoscopic Constant is described as the freezing point depression when a mole of non-volatile solute is dissolved in one kg of solvent, The Molar Enthalpy of Fusion is the amount of energy needed to change one mole of a substance from the solid phase to the liquid phase at constant temperature and pressure & Solvent Freezing Point is the temperature at which the solvent freezes from liquid to solid state.
How to calculate Molar Mass of Solvent given Cryoscopic Constant?
The Molar Mass of solvent given Cryoscopic Constant is obtained by summing the molar masses of its component atoms. A cryoscopic constant is described as the freezing point depression when a mole of non-volatile solute is dissolved in one kg of solvent is calculated using Molar Mass of Solvent = (Cryoscopic Constant*1000*Molar Enthalpy of Fusion)/([R]*Solvent Freezing Point*Solvent Freezing Point). To calculate Molar Mass of Solvent given Cryoscopic Constant, you need Cryoscopic Constant (kf), Molar Enthalpy of Fusion (ΔHfusion) & Solvent Freezing Point (Tfp). With our tool, you need to enter the respective value for Cryoscopic Constant, Molar Enthalpy of Fusion & Solvent Freezing Point and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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