Two parts question about heat transfer

1. This is a two-part question dealing with interstellar space travel: Given: specific heat = 4.2 kJ/Kg-KDensity = same of waterViscosity = 1.4e-3 N-s/m2Thermal conductivity = 0.582 W/m-KCoefficient of thermal expansion (beta) = 0.001 1/KGravity on-board the ship: 8.33 m/s2Also, you cannot assume that h is infinity

1. For an interstellar journey to another solar system, travelers are cryopreserved using a cryopreservation solution in a cryotube, which is a horizontal chamber. The traveler (Steve) rests on a magnetically levitated bed and is immersed in a cryo fluid at -180⁰C. If the initial temperature of Steve was 37⁰C, how long would it take for his core body temperature to fall to -120⁰C? Assume that Steve can be approximated by a cylinder of diameter 20 cm. (20 points)

2. On the interstellar journey, disaster befalls the spaceship, leading to many essential control systems shutting down or exploding. One of the systems that failed controlled the cryopreservation chamber of Steve, which resulted in a fire. The fire was put out in 15 seconds by the onboard safety systems, but the medical crew observed that parts of Steve’s body were burnt to a depth of 3 mm. In order for the engineers to design improved fire safety systems, they need to determine how hot the fire was in Steve’s case – can you help them determine the temperature of the fire? Recall from our discussion in class that skin becomes damaged when it crosses 62⁰C. (10 points)