Discuss the below in detail:
Q: The tip of a soldering iron consists of a 0.6-cm-OD copper rod, 7.6 cm long. If the tip must be 204°C, what is the required minimum temperature of the base and the heat flow, in Btu's per hour and in watts, into the base? Assume that h = 22.7 W/(m2 K) and Tair = 21°C.
GIVEN
Tip of soldering iron consists of copper rod
Outside diameter (D) = 0.6 cm = 0.006 m
Length (L) = 7.6 cm = 0.076 m
Temperature of the tip (TL) = 204°C
Heat transfer coefficient ( h ) = 22.7 W/(m2 K)
Ambient temperature (T?^?) = 21°C
ASSUMPTIONS
The tip is in steady state
The thermal conductivity of copper is uniform and constant, i.e., not a function of temperature
The copper tip can be treated as afin