Question

z=27

b. A glass vessel with an insulating cover with a surface area of (2 + 100) cm² and (Z +15) mm thick is filled with ice at 0°C and placed in a second vessel maintained at a temperature of 100°C. Find the mass of the ice that melts per minute when the flow of heat becomes steady. Latent heat of ice = 3.3 x 105J/kg and K for glass = 1.0 W/mK. (10 Marks)

Answer 1

soln surface Area for conduction & A A = Ztico cm2 AZ 27 tloo - 127 cm2 A = 1274154 m2 ocice mm thickness, L = (2+15) 100C 2 27 +15 42 mm = 0.042 m. Thermal potential, AT = (100-o) DT loole Latent heat of ice, 4 = 3-3x105gling Thermal conductivity I w/mk et mass of ice melty per minute = mo under steady state, Heat conducted - Heat required by glass for metting of ice KAAT milf L

m x 3.3 x 1057 1X 127X10 4x cao 0.042 mº = 30.238 Kg/S 3.3X105 mo -5 = 9.163x10 kgls 9.163XTOS kg/min mo 60 mo 0.1527 Xlo23/min mass Rate of melting 0.1527815 Skg/min