The mechanical properties of polymers synthesized via free radical polymerization are significantly influenced by factors such as molecular weight and branching. Let's discuss each factor separately:1. Molecular Weight:Molecular weight is a critical parameter that affects the mechanical properties of polymers. In general, as the molecular weight of a polymer increases, its mechanical properties, such as tensile strength, toughness, and elongation at break, improve. This is because higher molecular weight polymers have longer chains, which results in a higher degree of entanglement and stronger intermolecular forces e.g., van der Waals forces, hydrogen bonding between the polymer chains. These factors contribute to better load-bearing capacity and resistance to deformation.However, there is a limit to the improvement in mechanical properties with increasing molecular weight. At very high molecular weights, the polymer chains become too entangled, making it difficult for them to slide past each other. This can lead to a decrease in the polymer's processability and an increase in its viscosity.2. Branching:Branching refers to the presence of side chains or irregularities in the polymer's main chain. The degree of branching can significantly affect the mechanical properties of polymers synthesized via free radical polymerization.a Low degree of branching: When there is a low degree of branching, the polymer chains are relatively linear and can pack closely together, resulting in higher crystallinity and stronger intermolecular forces. This leads to improved mechanical properties such as higher tensile strength, modulus, and toughness.b High degree of branching: In contrast, when there is a high degree of branching, the polymer chains become more irregular and cannot pack as closely together. This results in lower crystallinity and weaker intermolecular forces. Consequently, the mechanical properties of the polymer, such as tensile strength and modulus, are reduced. However, highly branched polymers may exhibit increased elongation at break and impact resistance due to the greater chain mobility and ability to dissipate energy during deformation.In summary, the mechanical properties of polymers synthesized via free radical polymerization are influenced by molecular weight and branching. Higher molecular weight polymers generally exhibit improved mechanical properties, while the effect of branching depends on the degree of branching and the specific property being considered.