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Consider two hot lumps with the same initial temperature To. Both the lumps are dropped in a cold fluid at a constant temperature Tf. If ?1 & ?2 represent time constants of the two lumps, then based on the cooling curve which of the following options is correct.
  • a)
    ?1 > ?2
  • b)
    ?1 = ?2
  • c)
    ?1 < />2
  • d)
    Data insufficient
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Consider two hot lumps with the same initial temperature To. Both the...
For a lump
Thus at the beginning of cooling process (i.e t = 0)
For both lumps, T0 & Tf represent initial temperature and fluid temperature respectively. Also -Ve sign represents fall in temperature with time because it is a cooling process.
∴ Greater is value of slower is rate of cooling.
As per graph, cools down slowly as compared to .
∴ ?1 > ?2
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Most Upvoted Answer
Consider two hot lumps with the same initial temperature To. Both the...
For a lump
Thus at the beginning of cooling process (i.e t = 0)
For both lumps, T0 & Tf represent initial temperature and fluid temperature respectively. Also -Ve sign represents fall in temperature with time because it is a cooling process.
∴ Greater is value of slower is rate of cooling.
As per graph, cools down slowly as compared to .
∴ ?1 > ?2
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Community Answer
Consider two hot lumps with the same initial temperature To. Both the...
For a lump
Thus at the beginning of cooling process (i.e t = 0)
For both lumps, T0 & Tf represent initial temperature and fluid temperature respectively. Also -Ve sign represents fall in temperature with time because it is a cooling process.
∴ Greater is value of slower is rate of cooling.
As per graph, cools down slowly as compared to .
∴ ?1 > ?2
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Consider two hot lumps with the same initial temperature To. Both the lumps are dropped in a cold fluid at a constant temperature Tf. If ?1 & ?2 represent time constants of the two lumps, then based on the cooling curve which of the following options is correct.a) ?1 > ?2b) ?1 = ?2c) ?1 2d) Data insufficientCorrect answer is option 'A'. Can you explain this answer?
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