Chem. J. Chinese Universities ›› 2019, Vol. 40 ›› Issue (10): 2214.doi: 10.7503/cjcu20190117
• Physical Chemistry • Previous Articles Next Articles
XIAO Biyuan1,QIU Jiangyuan1,QIN Fanghong1,WAN Ting1,XU Yaqun1,NONG Xiaohui1,HUANG Zaiyin1,2,*()
Received:
2019-02-25
Online:
2019-10-08
Published:
2019-10-16
Contact:
HUANG Zaiyin
E-mail:huangzaiyin@163.com
Supported by:
CLC Number:
TrendMD:
XIAO Biyuan,QIU Jiangyuan,QIN Fanghong,WAN Ting,XU Yaqun,NONG Xiaohui,HUANG Zaiyin. Study on Particle Size Effect on Adsorption Thermodynamics and Kinetics of Cubic Nano-Cu2O [J]. Chem. J. Chinese Universities, 2019, 40(10): 2214.
Sample | l/nm | qe,x/(mg·g-1) | Pseudo-first order | Pseudo-second order | ||||
---|---|---|---|---|---|---|---|---|
k1 | qe,c/(mg·g-1) | R2 | k2 | qe,c/(mg·g-1) | R2 | |||
A | 42 | 41.6844 | 0.03387 | 13.7536 | 0.8482 | 4.5226 | 43.1779 | 0.9994 |
B | 54 | 35.6667 | 0.02976 | 12.6395 | 0.9197 | 4.1774 | 37.2578 | 0.9995 |
C | 67 | 28.5160 | 0.04793 | 20.8775 | 0.9911 | 3.7272 | 30.6843 | 0.9986 |
D | 117 | 23.3437 | 0.03404 | 15.0143 | 0.9923 | 3.2826 | 25.4001 | 0.9994 |
Sample | l/nm | qe,x/(mg·g-1) | Pseudo-first order | Pseudo-second order | ||||
---|---|---|---|---|---|---|---|---|
k1 | qe,c/(mg·g-1) | R2 | k2 | qe,c/(mg·g-1) | R2 | |||
A | 42 | 41.6844 | 0.03387 | 13.7536 | 0.8482 | 4.5226 | 43.1779 | 0.9994 |
B | 54 | 35.6667 | 0.02976 | 12.6395 | 0.9197 | 4.1774 | 37.2578 | 0.9995 |
C | 67 | 28.5160 | 0.04793 | 20.8775 | 0.9911 | 3.7272 | 30.6843 | 0.9986 |
D | 117 | 23.3437 | 0.03404 | 15.0143 | 0.9923 | 3.2826 | 25.4001 | 0.9994 |
Fig.5 Fit lines of the pseudo-first-order kinetic equation(A) and the pseudo-second-order kinetic equation(B) of adsorption of methyl orange on nano-Cu2O with different sizes in aqueous solution at 298.15 K
Sample | l/nm | Ea/(kJ·mol-1) | lnA/(g·mg-1·min-1) | Sample | l/nm | Ea/(kJ·mol-1) | lnA/(g·mg-1·min-1) |
---|---|---|---|---|---|---|---|
A | 42 | 16.8861 | 8.3560 | C | 67 | 18.0203 | 8.5920 |
B | 54 | 17.6544 | 8.5462 | D | 117 | 18.9848 | 8.8479 |
Sample | l/nm | Ea/(kJ·mol-1) | lnA/(g·mg-1·min-1) | Sample | l/nm | Ea/(kJ·mol-1) | lnA/(g·mg-1·min-1) |
---|---|---|---|---|---|---|---|
A | 42 | 16.8861 | 8.3560 | C | 67 | 18.0203 | 8.5920 |
B | 54 | 17.6544 | 8.5462 | D | 117 | 18.9848 | 8.8479 |
Fig.8 Relationships between the activation energy and the reciprocal of particle size(A) and between the logarithm of pre-exponential factor and the reciprocal of particle size(B) of nano-Cu2O adsorption system
T/K | lnK 0— | T/K | lnK 0— | ||||||
---|---|---|---|---|---|---|---|---|---|
Sample A | Sample B | Sample C | Sample D | Sample A | Sample B | Sample C | Sample D | ||
288.15 | 1.2996 | 0.9165 | 0.5659 | 0.4403 | 318.15 | 2.9303 | 2.2448 | 1.9259 | 1.7246 |
298.15 | 1.8977 | 1.5503 | 1.2579 | 0.8801 | 328.15 | 3.4863 | 2.7338 | 2.2453 | 1.9293 |
308.15 | 2.4215 | 1.8715 | 1.5852 | 1.4039 |
T/K | lnK 0— | T/K | lnK 0— | ||||||
---|---|---|---|---|---|---|---|---|---|
Sample A | Sample B | Sample C | Sample D | Sample A | Sample B | Sample C | Sample D | ||
288.15 | 1.2996 | 0.9165 | 0.5659 | 0.4403 | 318.15 | 2.9303 | 2.2448 | 1.9259 | 1.7246 |
298.15 | 1.8977 | 1.5503 | 1.2579 | 0.8801 | 328.15 | 3.4863 | 2.7338 | 2.2453 | 1.9293 |
308.15 | 2.4215 | 1.8715 | 1.5852 | 1.4039 |
Fig.9 Relationships between the logarithm of the standard and the reciprocal of the diameter of nano-Cu2O equilibrium constants at different temperatures
T/K | ΔaG 0— m/(kJ·mol-1) | T/K | ΔaG 0— m/(kJ·mol-1) | ||||||
---|---|---|---|---|---|---|---|---|---|
Sample A | Sample B | Sample C | Sample D | Sample A | Sample B | Sample C | Sample D | ||
288.15 | -3.1134 | -2.1956 | -1.3556 | -1.0547 | 318.15 | -7.7509 | -5.9378 | -5.0943 | -4.5616 |
298.15 | -4.7041 | -3.8428 | -3.1180 | -2.1816 | 328.15 | -9.5114 | -7.4585 | -6.1256 | -5.2635 |
308.15 | -6.2038 | -4.7947 | -4.0612 | -3.5967 |
T/K | ΔaG 0— m/(kJ·mol-1) | T/K | ΔaG 0— m/(kJ·mol-1) | ||||||
---|---|---|---|---|---|---|---|---|---|
Sample A | Sample B | Sample C | Sample D | Sample A | Sample B | Sample C | Sample D | ||
288.15 | -3.1134 | -2.1956 | -1.3556 | -1.0547 | 318.15 | -7.7509 | -5.9378 | -5.0943 | -4.5616 |
298.15 | -4.7041 | -3.8428 | -3.1180 | -2.1816 | 328.15 | -9.5114 | -7.4585 | -6.1256 | -5.2635 |
308.15 | -6.2038 | -4.7947 | -4.0612 | -3.5967 |
Fig.10 Relationships between the standard molar adsorption Gibbs free energy and temperature of nano-Cu2O(A), and between the standard molar adsorption Gibbs free energy and reciprocal grain size of nano-Cu2O(B)
Sample | l/nm | ΔaH 0— m/(kJ·mol-1) | ΔaS 0— m/(J·mol-1·K-1) | Sample | l/nm | ΔaH 0— m/(kJ·mol-1) | ΔaS 0— m/(J·mol-1·K-1) |
---|---|---|---|---|---|---|---|
A | 42 | 42.56 | 158.43 | C | 67 | 31.54 | 115.16 |
B | 54 | 34.04 | 126.21 | D | 117 | 29.94 | 107.98 |
Sample | l/nm | ΔaH 0— m/(kJ·mol-1) | ΔaS 0— m/(J·mol-1·K-1) | Sample | l/nm | ΔaH 0— m/(kJ·mol-1) | ΔaS 0— m/(J·mol-1·K-1) |
---|---|---|---|---|---|---|---|
A | 42 | 42.56 | 158.43 | C | 67 | 31.54 | 115.16 |
B | 54 | 34.04 | 126.21 | D | 117 | 29.94 | 107.98 |
Fig.11 Relationships between the standard molar adsorption entropies and the reciprocals of particle size(A) and between the standard molar adsorption enthalpies and the reciprocals of particle size(B) of nano-Cu2O adsorption system
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