Question

The heat of fusion per gram of p-dibromobenzene, C6H4Br2, is 86.10 joules and the melting point is 86 degrees celcius. Calculate the ideal solubility at 25 degrees celcius.

Answer 1

Answer on Question #44011 - Chemistry - Other

The heat of fusion per gram of p-dibromobenzene, C6H4Br2, is 86.10 joules and the melting point is 86 degrees celcius. Calculate the ideal solubility at 25 degrees celcius.

Solution

Solubility is defined as the property of a solid, liquid, or gaseous chemical substance called solute to dissolve in a solid, liquid, or gaseous solvent to form a homogeneous solution of the solute in the solvent.

The solubility of a solute in the perfect solvent, for which there is no energy penalty associated with the dissolution process. This definition of ideal doesn't cover cases where there are specific chemical reactions (i.e., acid-base) or ionic effects (in water) associated with dissolution. The ideal solubility depends only on the energy penalty needed to break the crystalline structure of the an active pharmaceutical ingredient (API) – the API has to "melt" before it can dissolve. If the enthalpy of fusion, the melting point and heat capacities are known, the ideal solubility can be calculated at 25 °C as:

$$\log(s) = -0.01x(Tm - 25)$$ $$\log(s) = -0.01x(86 - 25) = -0.61$$

Answer: $\log(s) = -0.61$

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