Freezing Point Depression of Benzene with Trichothecin: A Comprehensive Guide

Understanding how to calculate the freezing point depression of a solution is crucial for various scientific and industrial applications. This guide will walk you through the process of determining the freezing point of a solution prepared by adding 150 grams of trichothecin to 0.867 kg of benzene. We'll explore the formula, calculations, and final results in detail. This information is essential for SEO optimization and can serve as a valuable resource for students, scientists, and industry professionals.

Understanding Freezing Point Depression

The freezing point of a solution is always lower than that of the pure solvent due to freezing point depression. This phenomenon is described by the equation:

[Delta T_f i cdot K_f cdot m]

Key Components

Delta T_f (Freezing Point Depression) Change in the freezing point of the solution compared to the pure solvent. i (Van't Hoff Factor) A non-electrolyte like trichothecin has a Van't Hoff factor of 1. K_f (Freezing Point Depression Constant) For benzene, K_f 5.12 deg;C kg/mol. m (Molality) Molality of the solution in mol/kg.

Critical Calculation Steps

Step 1: Determine the Moles of Trichothecin

The molar mass of trichothecin is approximately 250 g/mol. To calculate the moles of trichothecin:

[text{Moles of trichothecin} frac{150 text{g}}{250 text{g/mol}} 0.6 text{mol}]

Step 2: Calculate the Molality of the Solution

Molality (m) is the number of moles of the solute per kilogram of the solvent. For our solution:

[text{Molality (m)} frac{0.6 text{mol}}{0.867 text{kg}} approx 0.691 text{mol/kg}]

Step 3: Use the Freezing Point Depression Formula

Substitute the values into the freezing point depression formula:

[Delta T_f 1 cdot 5.12 ^{circ}text{C mol/kg} cdot 0.691 text{mol/kg} approx 3.54 text{^{circ}C}]

Step 4: Determine the New Freezing Point

The normal freezing point of benzene is 5.5 deg;C. The new freezing point of the solution is:

5.5 deg;C - 3.54 deg;C 1.96 deg;C

Summary and Conclusion

In summary, the freezing point of the solution prepared by adding 150 grams of trichothecin to 0.867 kg of benzene is approximately 1.96 deg;C. This calculation highlights the practical application of freezing point depression in understanding the behavior of solutions in various chemical and physical contexts.

Additional Resources for SEO Optimization

For further exploration, students and professionals can refer to additional resources such as scientific textbooks, research papers, and online databases. Understanding freezing point depression is crucial for industries such as pharmaceuticals, food science, and environmental studies.