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Assertion (A): In lumped heat capacity systems the temperaturegradient within the system is negligible

Reason (R): In analysis of lumped capacity systems the thermalconductivity of the system material is considered very highirrespective of the size of the system
  • a)
    Both A and R are individually true and R is the correct explanation of A
  • b)
    Both A and R are individually true but R is not the correct explanation of A
  • c)
    A is true but R is false
  • d)
    A is false but R is true
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Assertion (A): In lumped heat capacity systems the temperaturegradient...
Ans. (a)
If Biot number (Bi) =
then use lumped heat capacity
approach. It depends on size.
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Most Upvoted Answer
Assertion (A): In lumped heat capacity systems the temperaturegradient...
Assertion (A): In lumped heat capacity systems, the temperature gradient within the system is negligible.
Reason (R): In the analysis of lumped capacity systems, the thermal conductivity of the system material is considered very high irrespective of the size of the system.

Explanation:
Lumped heat capacity systems are often used to simplify the analysis of heat transfer in certain situations. These systems are characterized by having a relatively small size compared to the characteristic length scale of the heat transfer process.

Temperature Gradient in Lumped Heat Capacity Systems:
In a lumped heat capacity system, the temperature gradient within the system is considered negligible. This means that the temperature within the system is assumed to be uniform. This assumption is valid when the size of the system is small and the heat transfer process is relatively fast.

Reason for Negligible Temperature Gradient:
The reason for the negligible temperature gradient in lumped heat capacity systems is the high thermal conductivity of the system material. The high thermal conductivity allows for rapid heat transfer within the system, leading to a uniform temperature distribution.

Validity of Reason:
The reason provided is valid because the assumption of high thermal conductivity is a key requirement for the analysis of lumped heat capacity systems. This assumption allows for the simplification of the heat transfer problem and the consideration of a uniform temperature distribution within the system.

Conclusion:
Both the assertion and reason are individually true, and the reason correctly explains the assertion. In lumped heat capacity systems, the temperature gradient within the system is assumed to be negligible, and this assumption is justified by the high thermal conductivity of the system material.
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Assertion (A): In lumped heat capacity systems the temperaturegradient within the system is negligibleReason (R): In analysis of lumped capacity systems the thermalconductivity of the system material is considered very highirrespective of the size of the systema)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is not the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer?
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