Calculate Mass Fraction of Polymer A and B in Copolymer
What is the method to calculate the mass fraction of Polymer A and Polymer B in the copolymer?
The mass fraction of Polymer A in the copolymer is 78.57%, and the mass fraction of Polymer B can be calculated as 100% - 78.57% = 21.43%. To calculate the mass fraction of Polymer A and Polymer B in the copolymer, we can use the formula: Mass fraction of A = (Glass transition of copolymer - Glass transition of B) / (Glass transition of A - Glass transition of B). Given that the glass transition temperature of Polymer A is 150°C, the glass transition temperature of Polymer B is 220°C, and the glass transition temperature of the copolymer is 165°C, we can substitute these values into the equation. First, simplify the numerator: 165°C - 220°C = -55°C. Next, simplify the denominator: 150°C - 220°C = -70°C. Then, divide the numerator by the denominator: -55°C / -70°C = 0.7857. Finally, express the mass fraction of A as a percentage: Mass fraction of A = 0.7857 * 100% = 78.57%. Please note that these calculations assume that the glass transition temperatures are the only factors determining the mass fraction of A and B in the copolymer. Other factors such as monomer ratios and reactivity ratios can also affect the composition of the copolymer, but this equation provides a simplified approximation based on the glass transition temperatures.