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+// Example 24_30
+clc;funcprot(0);
+//Given data
+T_1=15+273;// K
+p_1=1;// bar
+R_c=5;//Compression ratio
+T_3=800+273;// K
+T_9=265+273;// K
+W=625;// kW
+e=0.75;// Effectiveness of heat exchanger
+n_c=0.86;// Isentropic efficiency of compressor
+n_t=0.86;// Isentropic efficiency of both turbine
+n_t1=n_t;
+n_t2=n_t;
+m_a=5.85;// kg/sec
+C_p=1;// kJ/kg.K
+C_pa=C_p;
+C_pg=C_p;
+r=1.4;// Specific heat ratio
+
+//Calculation
+R_t1=R_c;
+R_t2=R_c;
+dT_21=(T_1/n_c)*(((R_c)^((r-1)/r))-1);// K
+T_2=T_1+dT_21;// K
+W_c=m_a*C_pa*(T_2-T_1);// The work done in the compressor in kW
+dT_34=T_3*n_t1*(1-((1/R_t1)^((r-1)/r)));//(T_3-T_4) K
+m_a1=W_c/(dT_34);// kg/sec
+P_ta=(m_a1/m_a)*100;// Percentage of total air supplied to turbine 1 in %
+m_a2=m_a-m_a1;// kg/sec
+// Assume T_7=y(1); T_8=y(2);
+function[X]=Temperature8(y)
+ X(1)=(m_a*C_pg*(y(1)-T_2))-(m_a*C_pg*(y(2)-T_9));
+ X(2)=((y(1)-T_2)/(y(2)-T_2))-e;
+endfunction
+y=[100 100];
+z=fsolve(y,Temperature8);
+T_8=z(2);// K
+T_7=z(1);// K
+// Assume T_5=x(1); T_6=x(2);
+function[Y]=Temperature5(x)
+ Y(1)=(x(1)*n_t2*(1-((1/R_t2)^((r-1)/r))))-(x(1)-x(2));
+ Y(2)=(m_a2*C_pa*(x(1)-x(2)))-W;
+endfunction
+x=[100 100];
+q=fsolve(x,Temperature5);
+T_5=q(1);// K
+T_6=q(2);// K
+n_th=(W/(((m_a1*C_pa*(T_3-T_7))+(m_a2*C_pa*(T_5-T_6)))))*100;//The over all efficiency of the plant in %
+printf('\nPercentage of total air passed to the compressor turbine=%0.1f percentage \nThe combined temperature of of the exhaust gases entering into the heat exchanger,T_8=%0.0f K \nThe temperature of gases entering into the power turbine,T_5=%0.0f K \nThe over all efficiency of the plant=%0.1f percentage',P_ta,T_8,T_5,n_th);
+// The answer vary due to round off error