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+clc;
+clear all;
+disp("required temperature calculation")
+D=0.1;//m dimeter
+R=D/2;//m radius
+As=4*%pi*(R^2);// m^2 surface area of sphere
+V=4*%pi*(R^3)/3;// m^3 volume of sphere
+Lc=V/As;// m characteristic length of sphere
+h=200; //W/m^2/C
+k=386;//W/m.C
+rho=8954;// kg/m^3
+C=383;//J/kg.C
+ta=50;// degree C
+ti=250;// degree C
+tau = 5*60;//sec
+Bi=h*Lc/k;// biot number
+if (Bi< 0.1)
+disp("Bi is less than 0.1 hence lumped heat capacity method can be applied")
+disp("Temperature distribution is given by : (t-ta)/(ti-ta) = exp((-h*As*tau)/(rho*V*C))")
+t = ta+(ti-ta)*exp((-h*As*tau)/(rho*V*C));
+disp("degree C",t,"the temperature attained is ")