Consider a theoretical system in which the particles interact so that the internal energy depends on volume as U = nRT + an², where A = 1.31e+01 J m³/mole² is a very small repulsive interaction between the particles and S = nRln V. Using minimization of free energy with respect to the volume, find the external pressure if the equilibrium volume is 1.64e-02 m³, the number of particles is 3.04e+00 moles, and the temperature is 2.30e+02 K O(a) 3.55e+05 Pa (b) -9.54e+04 Pa (c) 3.62e+05 Pa (d) 3.48e+05 Pa (e) 8.05e+05 Pa ✓ ✓ 100%

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Question 6: Free energy minimization
Consider a theoretical system in which the particles interact so that the internal energy depends on volume as
U = nRT + n², where A = 1.31e+01 J m³/mole² is a very small repulsive interaction between the
particles and S = nRln V.
Using minimization of free energy with respect to the volume, find the external pressure if the
equilibrium volume is 1.64e-02 m³, the number of particles is 3.04e+00 moles, and the temperature is
2.30e+02 K
(a) 3.55e+05 Pa
(b) -9.54e+04 Pa
(c) 3.62e+05 Pa
(d) 3.48e+05 Pa
(e) 8.05e+05 Pa ✓
✓ 100%
This question is complete and cannot be answered again.
Transcribed Image Text:Question 6: Free energy minimization Consider a theoretical system in which the particles interact so that the internal energy depends on volume as U = nRT + n², where A = 1.31e+01 J m³/mole² is a very small repulsive interaction between the particles and S = nRln V. Using minimization of free energy with respect to the volume, find the external pressure if the equilibrium volume is 1.64e-02 m³, the number of particles is 3.04e+00 moles, and the temperature is 2.30e+02 K (a) 3.55e+05 Pa (b) -9.54e+04 Pa (c) 3.62e+05 Pa (d) 3.48e+05 Pa (e) 8.05e+05 Pa ✓ ✓ 100% This question is complete and cannot be answered again.
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