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A cake is being baked in an hemispherical oven of radius 500 mm. The lower surface of the oven is maintained at 1000 K while the covering surface ( is maintained at 800 K. The diameter of the round cake is 0.25 m and its height can be neglected. Considering the lower surface of the oven and cake to be black bodies and neglecting the area covered by the cake, find the time required to bake the cake, if it requires 3.2123 MJ.
  • a)
    44.0
  • b)
    46.0
Correct answer is between ' 44.0, 46.0'. Can you explain this answer?
Verified Answer
A cake is being baked in an hemispherical oven of radius 500 mm. The ...
Radiosity from surface 2
= reflected energy from ② + emitted energy from ②
⇒ J2 = ρ2σA1T14 + ε2 A2 σT24
Ε2 = 0.8 ⇒ α2 = 0.8
∴ α222 = 1
⇒ ρ2 = 0.2
⇒ J2 = 38,071.644 W
Energy incident on the cake, G3 = F23J2
A3F32 = A2F23
∴ G3 = 0.03125 x 38071.644
G3 = 1189.74 W
∴ Time required to bake the cake,
t = 3.2123 x 106/1189.74
⇒ t = 2700 s
⇒ t ≅ 45 min
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Most Upvoted Answer
A cake is being baked in an hemispherical oven of radius 500 mm. The ...
Radiosity from surface 2
= reflected energy from ② + emitted energy from ②
⇒ J2 = ρ2σA1T14 + ε2 A2 σT24
Ε2 = 0.8 ⇒ α2 = 0.8
∴ α222 = 1
⇒ ρ2 = 0.2
⇒ J2 = 38,071.644 W
Energy incident on the cake, G3 = F23J2
A3F32 = A2F23
∴ G3 = 0.03125 x 38071.644
G3 = 1189.74 W
∴ Time required to bake the cake,
t = 3.2123 x 106/1189.74
⇒ t = 2700 s
⇒ t ≅ 45 min
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Community Answer
A cake is being baked in an hemispherical oven of radius 500 mm. The ...
Radiosity from surface 2
= reflected energy from ② + emitted energy from ②
⇒ J2 = ρ2σA1T14 + ε2 A2 σT24
Ε2 = 0.8 ⇒ α2 = 0.8
∴ α222 = 1
⇒ ρ2 = 0.2
⇒ J2 = 38,071.644 W
Energy incident on the cake, G3 = F23J2
A3F32 = A2F23
∴ G3 = 0.03125 x 38071.644
G3 = 1189.74 W
∴ Time required to bake the cake,
t = 3.2123 x 106/1189.74
⇒ t = 2700 s
⇒ t ≅ 45 min
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A cake is being baked in an hemispherical oven of radius 500 mm. The lower surface of the oven is maintained at 1000 K while the covering surface ( is maintained at 800 K. The diameter of the round cake is 0.25 m and its height can be neglected. Considering the lower surface of the oven and cake to be black bodies and neglecting the area covered by the cake, find the time required to bake the cake, if it requires 3.2123 MJ.a) 44.0b) 46.0Correct answer is between ' 44.0, 46.0'. Can you explain this answer? for Chemical Engineering 2025 is part of Chemical Engineering preparation. The Question and answers have been prepared according to the Chemical Engineering exam syllabus. Information about A cake is being baked in an hemispherical oven of radius 500 mm. The lower surface of the oven is maintained at 1000 K while the covering surface ( is maintained at 800 K. The diameter of the round cake is 0.25 m and its height can be neglected. Considering the lower surface of the oven and cake to be black bodies and neglecting the area covered by the cake, find the time required to bake the cake, if it requires 3.2123 MJ.a) 44.0b) 46.0Correct answer is between ' 44.0, 46.0'. Can you explain this answer? covers all topics & solutions for Chemical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cake is being baked in an hemispherical oven of radius 500 mm. The lower surface of the oven is maintained at 1000 K while the covering surface ( is maintained at 800 K. The diameter of the round cake is 0.25 m and its height can be neglected. Considering the lower surface of the oven and cake to be black bodies and neglecting the area covered by the cake, find the time required to bake the cake, if it requires 3.2123 MJ.a) 44.0b) 46.0Correct answer is between ' 44.0, 46.0'. Can you explain this answer?.
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Here you can find the meaning of A cake is being baked in an hemispherical oven of radius 500 mm. The lower surface of the oven is maintained at 1000 K while the covering surface ( is maintained at 800 K. The diameter of the round cake is 0.25 m and its height can be neglected. Considering the lower surface of the oven and cake to be black bodies and neglecting the area covered by the cake, find the time required to bake the cake, if it requires 3.2123 MJ.a) 44.0b) 46.0Correct answer is between ' 44.0, 46.0'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A cake is being baked in an hemispherical oven of radius 500 mm. The lower surface of the oven is maintained at 1000 K while the covering surface ( is maintained at 800 K. The diameter of the round cake is 0.25 m and its height can be neglected. Considering the lower surface of the oven and cake to be black bodies and neglecting the area covered by the cake, find the time required to bake the cake, if it requires 3.2123 MJ.a) 44.0b) 46.0Correct answer is between ' 44.0, 46.0'. Can you explain this answer?, a detailed solution for A cake is being baked in an hemispherical oven of radius 500 mm. The lower surface of the oven is maintained at 1000 K while the covering surface ( is maintained at 800 K. The diameter of the round cake is 0.25 m and its height can be neglected. Considering the lower surface of the oven and cake to be black bodies and neglecting the area covered by the cake, find the time required to bake the cake, if it requires 3.2123 MJ.a) 44.0b) 46.0Correct answer is between ' 44.0, 46.0'. Can you explain this answer? has been provided alongside types of A cake is being baked in an hemispherical oven of radius 500 mm. The lower surface of the oven is maintained at 1000 K while the covering surface ( is maintained at 800 K. The diameter of the round cake is 0.25 m and its height can be neglected. Considering the lower surface of the oven and cake to be black bodies and neglecting the area covered by the cake, find the time required to bake the cake, if it requires 3.2123 MJ.a) 44.0b) 46.0Correct answer is between ' 44.0, 46.0'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A cake is being baked in an hemispherical oven of radius 500 mm. The lower surface of the oven is maintained at 1000 K while the covering surface ( is maintained at 800 K. The diameter of the round cake is 0.25 m and its height can be neglected. Considering the lower surface of the oven and cake to be black bodies and neglecting the area covered by the cake, find the time required to bake the cake, if it requires 3.2123 MJ.a) 44.0b) 46.0Correct answer is between ' 44.0, 46.0'. Can you explain this answer? tests, examples and also practice Chemical Engineering tests.
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