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GAS POWER CYCLE (1824) AND ITS PROCESS

 The Carnot consists of two reversible isotherms and two reversible adiabatic. If an ideal gas is assumed   as the working fluid. Then for 1 kg of gas, 

 Q1-2 = RT1 ln (v2 / v1) ;       W1-2 = RT1 ln (v2 / v1)

 Q2-3 = 0                         ;       W2-3 = -Cv (T3 - T2) 

 Q3-4 = RT2 ln (v4 / v3)  ;      W3-4 = RT2 ln (v4 / v3) 

 Q4-1 = 0                          ;       W4-1= -Cv (T1-T4)     

                                           




 Q net = W net 

 Now , 

 (v2 / v1)  = (T2 / T1) ^ (1/ (Y-1))

 (v1 / v4)  = (T2 / T1) ^ (1 / (Y-1))

 v2 / v3 = v1 / v4  or  v2 / v1 =  v3 / v4 

 Therefore 

 Q1 = Heat added = RT1 ln (v2 / v1) 

 W net = Q1 - Q2 = ( R ln (v2 / v1) ) * (T1 - T2) 

 N cycle = W net / Q1 = (T1 - T2) / T1 

The large back work ( Wc = W4-1 ) is a big drawback for the Carnot gas cycle, as in the case of the Carnot vapor cycle. 


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