How to break Carnot rule for heat engine?


How to break Carnot rule for heat engine?
Author: David Judbarovski, judbarovski@gmail.com
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Let consider a electrochemical cell producing electricity, and the said cell recycling by heat
Being summarized: our Zn-battery with NH4OH –electrolyte produces 2.45 kWh/kg Zn + 1.22 kWh/kg Zn consuming H2 as a byproduct of the said Zn-battery, so totally it is about 3.7 kWh electricity.
Then we recycle the said Zn(OH)2 and NH3 being two other products of the said electrochemistry in Zn and in NH4OH correspondingly, by consuming 2.15 kWh low temperature heat for dissolving the said NH3 in the water, and another 1.53 kWh heat of coal burning in the air for recycling Zn from Zn(OH)2, so totally the same about 3.7 kWh energy, but being the heat.
Certainly, they are theoretical values, but being obvious way to break Carnot rule for heat engine: here we uses the heat to produce electricity with energy efficiency near 100% as ECG     

Really, my battery is:  
electrolyte: 2 NH4(+) + 2 OH(-) + 2 H2O + Zn(+2) = 2 H3O(+) + Zn(OH)2 solid + 2 NH3..
Cathode reaction: 2 H3O(+) + 2 e(-) = H2 + 2 H2O
And totally:
Zn + 2NH4OH = Zn(OH)2 + 2 NH3 + H2 + 2.45 kWh/kg Zn (theoretically)
H2 + air = (Fuel cell) = additional and practically free electricity of 1.22 kWh/kg Zn, so totally 3.7 kWh/kg Zn., while the said H2-air Fuel cell is in order of magnitude cheaper than H2O-electrolizer per kW, so it allows to produce additional electricity practically free.
  
Further we’ll thermo-chemically recycle the Zn from Zn(OH)2 consuming the coal or NG both as a chemical and as a energy source, and restore NH4OH from NH3 by it dissolving in the water.

(A) Zn(OH)2 +  0.91* C  + n * O2 = Zn + 0.91 CO2 + H2O + 0.0 kJ

Zn(OH)2 + ½ C = 950 C =  Zn + ½ CO2 – 163 kJ
and in sum it is 163 kJ, can be added by
C + O2 = CO2 + 393 kJ, and 163 / 393 = 0.41 C
And totally
Zn(OH)2  + (0.5 +0.41) C + 0.41 O2 = Zn  + (0.5 + 0.41) CO2, or
Zn (OH)2 + 0.91 C = Zn recycled + 0.91 CO2, the last release 0.91 * 393 kJ / (65 *  3.6) = 1.53 kWh heat/kg Zn

(B) 2 NH3 + 2 H2O = 2 NH4OH – 504 kJ = 2.15 kWh heat/kg Zn.  

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