Final answer:
The Carothers equation, useful in determining the percent conversion at the gel point in polymerization, was not directly applicable due to missing context on the molar ratios provided. Additional details are required to apply the equation correctly.
Step-by-step explanation:
The student's question refers to the Carothers equation, which is used to calculate the degree of polymerization at the gel point. However, in the context of the question, the Carothers relationship refers to the polymerization process where monomers combine to form a polymer.
The Carothers equation is given by Pn = 1 / (1 - p), where Pn is the degree of polymerization and p is the fraction of monomer that has been converted to polymer. To find the percent conversion at the gel point, this equation is equated to an infinite degree of polymerization because gelation is the point at which an infinitely large polymer is formed. Therefore, upon gelation, Pn approaches infinity, which implies that p approaches 1.
To calculate the percent conversion at the gel point for various molar ratios, one would typically use the formula for the functionality of the monomers (f) according to the Carothers equation f = (r1 + r2 + ... + rn) / n where r1, r2, ..., rn are molar ratios of each monomer and n is the number of different monomers involved.
For a detailed answer, further information or clarification on the context of the molar ratios provided would be needed to apply the correct Carothers relationship.