The heat transfer coefficient for hydrogen flowing over a sphere is to be determined by observing the temperature–time history of a sphere fabricated from pure copper. the sphere, which is 20.0 mm in diameter, is at 80°c before it is inserted into the gas stream having a temperature of 27°c. a thermocouple on the outer surface of the sphere indicates 50°c 97 s after the sphere is inserted into the hydrogen.(a) what is the value of the specific heat of the copper at the average temperature of the process, in j/kg·k? (b) what is the value of the lumped thermal capacitance of the sphere, in j/k? (c) solve for the thermal time constant, in sec.(d) what is the value of the heat transfer coefficient, in w/m2· k? (e) what is the value of the biot number?