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Exergy analysis of CuCl cycle
J.M. Borgard, D. Doizi, P. Carles*
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CuCl hybrid cycle 5-step version
All reactions demonstrated in laboratory
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CuCl Cycle efficiency evaluation is difficult
Large uncertainties on many relevant thermodynamical data : Cu2OCl2 enthalpy data CuCl2 and CuCl mixing in HCl/H2O mixture HCl/H2O azeotrope : - non linear heat exchanges => flowsheet errors are common => choice to use exergy analysis to identify critical points
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Thermal efficiency Exergetic efficiency
Equivalence : DSi: Entropy generation T: temperature of available heat, Ta : temperature of rejected heat Q: heat input of the process, W: work input of the process ηel:efficiency of work generation
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Some minimal exergy losses Exmin
Heat exchangers Q: heat,T1 => T2 gas separation N: total mole number, R: gas constant, x: mole fraction, T : temperature (theoretical value, usually 5-20 times higher) Electricity use W: work, ηv: isentropic efficiency, hel: electrical efficiency Tmax, Tmin ? Ex_min of chemical reaction ? Ex = 2 F(E-Ereversible) Ta/T Exmin ~ kJ (120 = alkalin electrolysis) Electrolytic step Irreversible chemical reaction Exmin ~ Ta DGR/T
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Exergetic calculation assumptions :
Reference temperature : Ta =298 K => DG(Ta) = -229 kJ/mol => DH(Ta) = -286 kJ/mol Average temperature of secondary loop for nuclear heat: Tav = 773 K Heat to Electrical conversion : efficiency : 0.42 Therefore, we have in our case the relation: hT ≈ 0.68 hex T = 955 K not 955OC ?
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Exergy minimal losses evaluation Application to CuCl cycle
For detailed calculations please refer to proceeding
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(1) Cu(s) + 2 HCl(g) = H2(g) + CuCl(l)
Exergy loss type Estimation Heat exchange 6-10 kJ Chemical reaction Negligible (DG ≈ 0) H2/HCl Separation Min= 13 kJ More likely > 100 kJ - Heat release (100 kJ including CuCl solidification) can be recovered for step 4 - Reaction is always incomplete and H2 and HCl can not be easily separated
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(2): 4 CuCl = 2 CuCl2(aq) + 2 Cu(s)
Exergy loss type Estimation of exergy loss Heat release from electrolyser 19 kJ (may be used for cogeneration) Electrolyser voltage kJ CuCl dissolution 5-10 kJ Remaining CuCl can be done in next step Exergetic losses are important because of the electrolysis step, which requires heat to be first transformed into electricity highly dependent on effective voltage
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(3): 2 CuCl2(aq) = 2 CuCl2(s) Exergy loss type
Estimation of exergy loss Heat exchange with nuclear heat 9 kJ Internal heat exchanges Min = 25 kJ Heat release Min = 18 kJ Too much H2O with CuCl2 => very large heat exchanges for evaporation/condensation of H2O Global heat demand is important because of the heat of mixing of CuCl2 with HCl/H2O
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(4): 2 CuCl2(s) + H2O(g) = Cu2OCl2(s) + 2 HCl(g)
Exergy loss type Estimation of exergy loss Heat exchange with nuclear heat 3 kJ Separation of H2O/HCl Min = 33 kJ More likely > 150 kJ Incomplete reaction, even with 15 H2O for 2 HCl (DG >>0) separation of HCl/H2O mixture very energy intensive because of azeotrope
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(5): Cu2OCl2(s) = 2 CuCl(s) + 0.5 O2 (g)
Exergy loss type Estimation Heat exchange 3 kJ Chemical reaction 5 kJ Separation issues 0 kJ Small exergetic loss due to nuclear coupling and irreversibility of reaction
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Minimal Exergy losses (summary)
stage Main issues Exergy minimal loss Step 1 HCl/H2 separation 20 kJ/mol ( kJ/mol more likely) Step 2 Electrolysis overvoltage 101 kJ/mol ( kJ/mol more likely) Step 3 Too low CuCl2 concentration 52 kJ/mol ( kJ more likely) Step 4 H2O/HCl separation 33 kJ/mol ( kJ expected) Step 5 none 8 kJ/mol For comparison : industrial alkaline electrolysis : 285 kJ on same basis
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Possible Improvements :
« mix » steps to avoid exergy losses
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Combining steps 1 and 4 No Match !!
Step 4 : 2 CuCl2 + H2O = Cu2OCl2 + 2 HCl Step 1 : 2 Cu + 2 HCl = 2 CuCl + H2 2 Cu + 2 CuCl2 + H2O = 2 CuCl + Cu2OCl2 + H2 Gain : HCl separation issues easier Trouble : Reaction 1: high Pressure reaction 4 : low Pressure No Match !!
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Dokiya cycle 2 CuCl(aq) + 2 HCl(g) = 2 CuCl2(aq) + H2(g)
Combining steps 1 and 2 Step 1 : 2 Cu + 2 HCl = 2 CuCl + H2 Step 2 : 4 CuCl = 2 CuCl2 + 2 Cu Dokiya cycle 2 CuCl(aq) + 2 HCl(g) = 2 CuCl2(aq) + H2(g) Gain : lower H2O with CuCl2 => less exergy loss in step 3 no separation issues in step 1 Inconvenients : Higher voltage Cu formation in electrolysis step Use of high HCl concentration to avoid Cu formation
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Step 5 : Cu2OCl2 => 2 CuCl + 0.5 O2
Combining steps 4 and 5 Step 4 : 2 CuCl2 + H2O = Cu2OCl2 + 2 HCl Step 5 : Cu2OCl2 => 2 CuCl O2 CuCl2 direct decomposition 2 CuCl2 + H2O(g) = 2 CuCl + 2 HCl(g) +0.5 O2(g) Gain : no parasit reaction to handle Less separation issue with H2O/HCl Inconvenients : separation of remaining Cl2 from O2/HCl Do it in liquid phase at high pressure ?
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Towards a liquid-gas cycle?
CuCl2 direct decomposition in liquid phase 2 CuCl2(aq) + H2O(l) = 2 CuCl(aq) + 2 HCl(aq) +0.5 O2(g) T=350°C Could perhaps work around 350°C and high pressure Then combined with CuCl decomposition 2 CuCl(aq) + 2 HCl (aq) = 2 CuCl2(aq) + H2(g) T=90°C, electrolysis Liquid-gas cycle with temperature below 400°C Only two reactions HCl/H2O concentrations need to be adjusted between the two steps !
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Conclusion Cycle evolution unavoidable due to separation issues
Many variations possible, need to be checked precisely Proposition of a two reaction liquid-gas variation, with temperature compatible with SFR heat
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