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Freezing-Point Depression Equation Using Solvent Properties

Freezing-point depression is the process in which adding a solute to a solvent decreases the freezing point of the solvent.

The freezing-point depression equals the product of the molar gas constant, solvent molar mass, solvent freezing point squared and solution molarity divided by the solvent molar enthalpy of fusion.

Formula

QuantityVariable[Subscript["Δ​T", "f"], "TemperatureDifference"] == (Quantity[1, "MolarGasConstant"]*QuantityVariable["m", "Molality"]*QuantityVariable["M", "MolarMass"]*QuantityVariable[Subscript["T", "f"], "Temperature"]^2)/QuantityVariable[Subscript["Δ​H", "fus"], "MolarEnergy"]

symbol description physical quantity
Δ​Tf freezing point depression "TemperatureDifference"
m solution molality "Molality"
M solvent molar mass "MolarMass"
Tf solvent freezing point "Temperature"
Δ​Hfus solvent molar enthalpy of fusion "MolarEnergy"

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Examples

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In[1]:=
ResourceObject["Freezing-Point Depression Equation Using Solvent \ Properties"]
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Get the formula:

In[2]:=
FormulaData[ ResourceObject[ "Freezing-Point Depression Equation Using Solvent Properties"]]
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Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Freezing-Point Depression Equation Using Solvent Properties"], \ {QuantityVariable[ \!\(\*SubscriptBox[\("T"\), \("f"\)]\),"Temperature"] -> Quantity[0.`, "DegreesCelsius"]}]
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