In [4]:

```
from math import pi,sin,e
#Variable declaration:
k = 9.1 #Thermal coductivity of steel rod (Btu/h.ft.°F)
p = 0.29*1728 #Density of steel rod (lb/ft^3)
Cp = 0.12 #Heat capacity of steel rod (Btu/lb.°F)
P = 15+14.7 #Absolute pressure (psia)
Ta = 71.0 #Initial temperature (°F)
L = 20.0/12.0 #Length of rod (ft)
t = 30.0/60.0 #Time taken (h)
x = 0.875/12.0 #Length from one of end (ft)
#From assumption:
n = 1.0 #First term
#From tables in Appendix:
Ts = 249.7 #Saturated steam temperature (°F)
#Calculation:
a = k/(p*Cp) #Thermal diffusivity (ft^2/s)
T = Ts+(Ta-Ts)*(((n+1)*(-1)**2 + 1 )/pi)*e**((-a*((n*pi)/L)**2)*t)*sin((n*pi*x)/L) #Temperature 0.875 inches from one of the ends after 30 minutes (°F)
#Result:
print "The temperature 0.875 inches from one of the ends after 30 minutes is :",round(T)," °F."
```