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A steel ball l of radius 30 mm is initially in thermal equilibrium at 1000°C in the furnace. It is then suddenly removed and cooled in ambient air at 30°C with convection heat transfer coefficient h = 20 W/m2K. find the time required in seconds to cool the steel ball in air from 1000°C to 450°C, (Take thermophysical properties of steel: density ρ = 7600 kg/m3, Conductivity k = 40 W/mK, specific heat Cp = 500 J/kg K.)
  • a)
    519
  • b)
    519
  • c)
    1590
  • d)
    2144
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A steel ball l of radius 30 mm is initially in thermal equilibrium at ...
Given, R = 30 x 10-3 m.
T0 = 1000 °C
T∞ = 30 ° C
T = 450 ° C
h = 20 W/m2K
ρ = 7600 kg/m3
k = 40 W/mK
Cp = 500 J/kg K.
Now, biot number <0.1, applying="" limped="" analysis:="" ----------------="" (eq="">
Where,
Now applying ‘b’ in first equation (eq 1):
Therefore: τ = 1590.819 secs.
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A steel ball l of radius 30 mm is initially in thermal equilibrium at 1000°C in the furnace. It is then suddenly removed and cooled in ambient air at 30°C with convection heat transfer coefficient h = 20 W/m2K. find the time required in seconds to cool the steel ball in air from 1000°C to 450°C, (Take thermophysical properties of steel: density ρ = 7600 kg/m3, Conductivity k = 40 W/mK, specific heat Cp = 500 J/kg K.)a)519b)519c)1590d)2144Correct answer is option 'C'. Can you explain this answer?
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A steel ball l of radius 30 mm is initially in thermal equilibrium at 1000°C in the furnace. It is then suddenly removed and cooled in ambient air at 30°C with convection heat transfer coefficient h = 20 W/m2K. find the time required in seconds to cool the steel ball in air from 1000°C to 450°C, (Take thermophysical properties of steel: density ρ = 7600 kg/m3, Conductivity k = 40 W/mK, specific heat Cp = 500 J/kg K.)a)519b)519c)1590d)2144Correct answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A steel ball l of radius 30 mm is initially in thermal equilibrium at 1000°C in the furnace. It is then suddenly removed and cooled in ambient air at 30°C with convection heat transfer coefficient h = 20 W/m2K. find the time required in seconds to cool the steel ball in air from 1000°C to 450°C, (Take thermophysical properties of steel: density ρ = 7600 kg/m3, Conductivity k = 40 W/mK, specific heat Cp = 500 J/kg K.)a)519b)519c)1590d)2144Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A steel ball l of radius 30 mm is initially in thermal equilibrium at 1000°C in the furnace. It is then suddenly removed and cooled in ambient air at 30°C with convection heat transfer coefficient h = 20 W/m2K. find the time required in seconds to cool the steel ball in air from 1000°C to 450°C, (Take thermophysical properties of steel: density ρ = 7600 kg/m3, Conductivity k = 40 W/mK, specific heat Cp = 500 J/kg K.)a)519b)519c)1590d)2144Correct answer is option 'C'. Can you explain this answer?.
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