To cool a summer home without using a vapor compression refrigeration cycle, air is routed through a plastic pipe (k=0.15 W/m*K,
D_inner=0.15m, D_outer=0.17m) that is submerged in an adjoining body of water. the water temperature is nominally at T_infinity=17 degrees Celsius and has a convection coefficient of h=1500W/m^2*K is maintained at the outer surface of the pipe. If air from the home enters at T_m,i=29 degrees Celsius and a volumetric flow rate of V_i=0.025 m^3/s, what pipe length, L, is needed to provide a discharge temperature of T_m,o=21 degrees Celsius?
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Answer:
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Explanation:
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To cool a summer home without using a vapor compression refrigeration cycle, air is routed through a plastic pipe (k=0.15 W/m*K, D_inner=0.15m, D_outer=0.17m) that is submerged in an adjoining body of water. the water temperature is nominally at T_infinity=17 degrees Celsius and has a convection coefficient of h=1500W/m^2*K is maintained at the outer surface of the pipe. If air from the home enters at T_m,i=29 degrees Celsius and a volumetric flow rate of V_i=0.025 m^3/s, what pipe length, L, is needed to provide a discharge temperature of T_m,o=21 degrees Celsius
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Answer:
final temperature T = 24.84ºC
Explanation:
given data
copper volume = 1 L
temperature t1 = 500ºC
oil volume = 200 L
temperature t2 = 20ºC
solution
Density of copper cu = 8940 Kg/m³
Density of light oil oil = 889 Kg/m³
Specific heat capacity of copper Cv = 0.384 KJ/Kg.K
Specific heat capacity of light oil Cv = 1.880 KJ/kg.K
so fist we get here mass of oil and copper that is
mass = density × volume ................1
mass of copper = 8940 × 1 × = 8.94 kg
mass of oil = 889 × 200 × = 177.8 kg
so we apply here now energy balance equation that is
= 0
put here value and we get T2
= 0
solve it we get
T = 24.84ºC