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Material a (c-]) c (J/(kg K)) C (J/(mol K)) Ly (J/kg) Le (J/kg) density (kg/m Gold 129 25 19,300 Copper 1.65x10-5 8,960 Aluminum 2.3x10-5 2,700 Stainless Steel 1.75x10-5 7,500 Water 4190 75 3.33 x 105 22.6x105 1,000 Ethyl Alcohol 2400 110 1.09 x 105 8.79x 105 790 Ice 2090 37.6 917 1 atm = 1.01 x105 Pa NA = 6.022x1023 particles/mol R = 8.3145 J/(mol K) KB = 1.38x10-23 J/ K 0 = 5.67 x 10-8W/(m?K4 ) 1. The emissivity of human skin is approximately 0.97. If your skin is at a temperature of 33 C, and you go out on a walk on a bone-chilling -5 C day then answer the following: a. What is the net rate of heat loss due to radiation from your head if you model your head as a 20 cm diameter sphere? b. If your body can only afford to lose 100,000 J of energy from radiation losses before total exhaustion what is the maximum amount of time that you can stroll around (in minutes)? Assume that the only losses due to radiation come from your head