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Diffstat (limited to '3831/CH18/EX18.3/Ex18_3.sce')
| -rw-r--r-- | 3831/CH18/EX18.3/Ex18_3.sce | 26 |
1 files changed, 26 insertions, 0 deletions
diff --git a/3831/CH18/EX18.3/Ex18_3.sce b/3831/CH18/EX18.3/Ex18_3.sce new file mode 100644 index 000000000..dd48dc042 --- /dev/null +++ b/3831/CH18/EX18.3/Ex18_3.sce @@ -0,0 +1,26 @@ +// Example 18_3
+clc;funcprot(0);
+// Given data
+T=273;// K
+m=3.35*10^-26;// kg
+k=1.38*10^-23;// J/(molecule.K)
+
+// Calculation
+// (a) The fraction having velocities greater than Vmp is given by Eq. (18.26) with x = Vmp/Vmp = 1.0
+x=1.00;// The velocity ratio
+NV_mpbyN=1-erf(x)+((2/sqrt(%pi))*x*exp(-(x^2)));// The fraction of molecules whose velocities lie in the range from V to infinity
+// (b)
+x=sqrt(8/(2*%pi));// The velocity ratio
+NV_avgbyN=1-erf(x)+((2/sqrt(%pi))*x*exp(-(x^2)));// The fraction of molecules whose velocities lie in the range from V to infinity
+// (c)
+// x=V_rms/V_mp;
+x=sqrt(3/2);// The velocity ratio
+NV_rmsbyN=1-erf(x)+((2/sqrt(%pi))*x*exp(-(x^2)));// The fraction of molecules whose velocities lie in the range from V to infinity
+// (d)
+x=10.0;// The velocity ratio
+NVbyN=((2/sqrt(%pi))*x*exp(-(x^2)));// The fraction of molecules whose velocities lie in the range from V to infinity
+c=3.00*10^8;// m/s
+V_mp=sqrt((2*k*T)/m);// m/s
+x=c/V_mp;// The velocity ratio
+NcbyN=((2/sqrt(%pi))*x*exp(-(x^2)));// The fraction of molecules whose velocities lie in the range from c to infinity
+printf("\n(a)%2.2f percentage of the molecules have velocities faster than V_mp. \n(b)%2.2f percentage of the molecules have velocities faster than V_avg. \n(c)%2.2f percentage of the molecules have velocities faster than V_rms. \n(d)The fraction of molecules whose velocities lie in the range from c to infinity is %0.0f.",NV_mpbyN*100,NV_avgbyN*100,NV_rmsbyN*100,NcbyN*100);
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