Question

Suppose you stand with one foot on ceramic flooring and one on a wool carpet, making contact over a 69.2 cm2 area with each foot. Both the ceramic and the carpet are 3.50 cm thick and are 10.0°C on their bottoms. At what rate must each foot supply heat to keep the top of the ceramic and carpet at 33.0°C? The thermal conductivity of ceramic is 0.84 J/(s.m. °C) and that of wool is 0.04 )/(s.m. °C). ceramic tile wool carpet

Answer 1

zebogsel" Ô infrovided values A = 69.2cm² Thermal Conductivity of x = 3.50cm k ceramic = 0.84 J/s.mice ko wool = 0.04 Ils mc T = 10.0°c T2 = 33.0°c dT = T₂ - T = 33-10-23°c The rate of heat flow for wool carpet da = kA d y = (0.04) x 69.2 X10h (23 62m da = 0.1818 W dt The rate of heat flow for ceramic carpet da - kA dT - (0.84)X 69.2x1034x 23 dt 3.58 10 2 = 3.819 W da dt JL. ANSWER