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+//Example 8// Ch 3
+clc;
+clear;
+close;
+// given data
+k = 1.38*10^-21; //boltzmanns constant
+T = 293; // temperature in K
+e = 1.6*10^-19;
+E = (1.5*k*T)/e;
+printf("energy of free electron %f eV",E)