Molal Heat of Fusion of Solvent given Molecular Weight of Solvent Calculator

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✖Solvent Freezing Point is the temperature at which the solvent freezes from liquid to solid state.ⓘ Solvent Freezing Point [T_fp]			+10% -10%
✖Molecular Weight is the mass of a given molecule.ⓘ Molecular Weight [MW]			+10% -10%
✖Molal freezing point constant, also known as cryoscopic constant is dependent on the properties of the solvent, not the solute.ⓘ Molal freezing point constant [K_f]			+10% -10%

✖Molal Heat 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.ⓘ Molal Heat of Fusion of Solvent given Molecular Weight of Solvent [ΔH_f]

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Formula

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Molal Heat of Fusion of Solvent given Molecular Weight of Solvent

Formula

`"ΔH"_{"f"} = ("[R]"*("T"_{"fp"}^2)*"MW")/("K"_{"f"}*1000)`

Example

`"1.844813J/mol"=("[R]"*(("430K")^2)*"120g")/("100K*kg/mol"*1000)`

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Molal Heat of Fusion of Solvent given Molecular Weight of Solvent Solution

STEP 0: Pre-Calculation Summary

Formula Used

Molal Heat of Fusion = ([R]*(Solvent Freezing Point^2)*Molecular Weight)/(Molal freezing point constant*1000)
ΔH_f = ([R]*(T_fp^2)*MW)/(K_f*1000)
This formula uses 1 Constants, 4 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Molal Heat of Fusion - (Measured in Joule Per Mole) - Molal Heat 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.
Molecular Weight - (Measured in Kilogram) - Molecular Weight is the mass of a given molecule.
Molal freezing point constant - (Measured in Kelvin Kilogram per Mole) - Molal freezing point constant, also known as cryoscopic constant is dependent on the properties of the solvent, not the solute.

STEP 1: Convert Input(s) to Base Unit

Solvent Freezing Point: 430 Kelvin --> 430 Kelvin No Conversion Required
Molecular Weight: 120 Gram --> 0.12 Kilogram (Check conversion here)
Molal freezing point constant: 100 Kelvin Kilogram per Mole --> 100 Kelvin Kilogram per Mole No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΔH_f = ([R]*(T_fp^2)*MW)/(K_f*1000) --> ([R]*(430^2)*0.12)/(100*1000)

Evaluating ... ...

ΔH_f = 1.84481296571584

STEP 3: Convert Result to Output's Unit

1.84481296571584 Joule Per Mole --> No Conversion Required

FINAL ANSWER

1.84481296571584 ≈ 1.844813 Joule Per Mole <-- Molal Heat of Fusion

(Calculation completed in 00.004 seconds)

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Molal Heat of Fusion of Solvent given Molecular Weight of Solvent

Go Molal Heat of Fusion = ([R]*(Solvent Freezing Point^2)*Molecular Weight)/(Molal freezing point constant*1000)

Stoichiometric Coefficient for i-th Component in Reaction

Go Stoichiometric Coefficient for i-th Component = Change in Number of Moles of i-th Reactant/Change in Extent of Reaction

Change in Temperature using Molar Heat Capacity

Go Change in Temperature = Heat/(Molar Heat Capacity*Number of Moles)

Number of Moles using Molar Heat Capacity

Go Number of Moles = Heat/(Molar Heat Capacity*Change in Temperature)

Molar Heat Capacity

Go Molar Heat Capacity = Heat/(Number of Moles*Change in Temperature)

Heat Energy using Molar Heat Capacity

Go Heat = Change in Temperature*Molar Heat Capacity*Number of Moles

Thermodynamic Beta

Go Thermodynamic Beta = 1/([BoltZ]*Temperature)

Molal Heat of Fusion of Solvent given Molecular Weight of Solvent Formula

Molal Heat of Fusion = ([R]*(Solvent Freezing Point^2)*Molecular Weight)/(Molal freezing point constant*1000)
ΔH_f = ([R]*(T_fp^2)*MW)/(K_f*1000)

Explain Freezing Point Depression.

The Freezing point depression is the temperature at which the liquid solvent and solid solvent are at equilibrium so that their vapor pressures are equal. When a non-volatile solute is added to a volatile liquid solvent, the solution vapor pressure will be lower than that of the pure solvent. As a result, the solid will reach equilibrium with the solution at a lower temperature than with the pure solvent.

How to Calculate Molal Heat of Fusion of Solvent given Molecular Weight of Solvent?

Molal Heat of Fusion of Solvent given Molecular Weight of Solvent calculator uses Molal Heat of Fusion = ([R]*(Solvent Freezing Point^2)*Molecular Weight)/(Molal freezing point constant*1000) to calculate the Molal Heat of Fusion, The Molal Heat of Fusion of Solvent given Molecular Weight of Solvent 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. Molal Heat of Fusion is denoted by ΔH_f symbol.

How to calculate Molal Heat of Fusion of Solvent given Molecular Weight of Solvent using this online calculator? To use this online calculator for Molal Heat of Fusion of Solvent given Molecular Weight of Solvent, enter Solvent Freezing Point (T_fp), Molecular Weight (MW) & Molal freezing point constant (K_f) and hit the calculate button. Here is how the Molal Heat of Fusion of Solvent given Molecular Weight of Solvent calculation can be explained with given input values -> 1.844813 = ([R]*(430^2)*0.12)/(100*1000).

FAQ

What is Molal Heat of Fusion of Solvent given Molecular Weight of Solvent?

The Molal Heat of Fusion of Solvent given Molecular Weight of Solvent 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 and is represented as ΔH_f = ([R]*(T_fp^2)*MW)/(K_f*1000) or Molal Heat of Fusion = ([R]*(Solvent Freezing Point^2)*Molecular Weight)/(Molal freezing point constant*1000). Solvent Freezing Point is the temperature at which the solvent freezes from liquid to solid state, Molecular Weight is the mass of a given molecule & Molal freezing point constant, also known as cryoscopic constant is dependent on the properties of the solvent, not the solute.

How to calculate Molal Heat of Fusion of Solvent given Molecular Weight of Solvent?

The Molal Heat of Fusion of Solvent given Molecular Weight of Solvent 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 is calculated using Molal Heat of Fusion = ([R]*(Solvent Freezing Point^2)*Molecular Weight)/(Molal freezing point constant*1000). To calculate Molal Heat of Fusion of Solvent given Molecular Weight of Solvent, you need Solvent Freezing Point (T_fp), Molecular Weight (MW) & Molal freezing point constant (K_f). With our tool, you need to enter the respective value for Solvent Freezing Point, Molecular Weight & Molal freezing point constant 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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