A one-liter solution contains Poly (phenylene oxide) (PPO) with a length of 10,000 monomers. In the following calculations, we will use the Flory model and assume that the volume of a lattice unit is the volume of a solvent molecule. a. Use the table of solubility constants and calculate χ for Poly(phenylene oxide) in a solution of Benzene (molar mass 78.11gmol, and density of 0.8765gcm3 ) and DMF (molar mass 73.09gmol, density of 0.948gcm3 ). *Giving that delta[Poly(phenylene oxide)]=delta[Benzene]=9.15 and that delta[DMF]=12.14* b. At room temperature kBT=9.834×10-22 cal Use the result you got in the previous section and draw a graph of ΔFmixkBT as a function of φPPO for the two solutions (in software - Excel, Origin, Matlab, etc.). At which φ is the minimum obtained? c. Extract from the graph you received the miscibility gap range for both systems. Will the systems be stable for φ=0.4 ? If not - what phases will they break into and what will be the final ΔFmixkBT ?
A one-liter solution contains Poly (phenylene oxide) (PPO) with a length of 10,000 monomers. In the following calculations, we will use the Flory model and assume that the volume of a lattice unit is the volume of a solvent molecule. a. Use the table of solubility constants and calculate χ for Poly(phenylene oxide) in a solution of Benzene (molar mass 78.11gmol, and density of 0.8765gcm3 ) and DMF (molar mass 73.09gmol, density of 0.948gcm3 ). *Giving that delta[Poly(phenylene oxide)]=delta[Benzene]=9.15 and that delta[DMF]=12.14* b. At room temperature kBT=9.834×10-22 cal Use the result you got in the previous section and draw a graph of ΔFmixkBT as a function of φPPO for the two solutions (in software - Excel, Origin, Matlab, etc.). At which φ is the minimum obtained? c. Extract from the graph you received the miscibility gap range for both systems. Will the systems be stable for φ=0.4 ? If not - what phases will they break into and what will be the final ΔFmixkBT ?
Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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A one-liter solution contains Poly (phenylene oxide) (PPO) with a length of 10,000
monomers.
In the following calculations, we will use the Flory model and assume that the volume of a
lattice unit is the volume of a solvent molecule.
a. Use the table of solubility constants and calculate χ for Poly(phenylene oxide) in a
solution of Benzene (molar mass 78.11gmol, and density of 0.8765gcm3 ) and DMF
(molar mass 73.09gmol, density of 0.948gcm3 ).
*Giving that delta[Poly(phenylene oxide)]=delta[Benzene]=9.15 and that delta[DMF]=12.14*
b. At room temperature kBT=9.834×10-22 cal
Use the result you got in the previous section and draw a graph of ΔFmixkBT as a
function of φPPO for the two solutions (in software - Excel, Origin, Matlab, etc.). At which
φ is the minimum obtained?
c. Extract from the graph you received the miscibility gap range for both systems. Will the
systems be stable for φ=0.4 ? If not - what phases will they break into and what will be
the final ΔFmixkBT ?
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