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CBSE Class 11-science Answered

Show that Newton's law of cooling is a special ial case of Stefan's law.
Asked by Bhaskar | 27 Mar, 2016, 11:14: AM
answered-by-expert Expert Answer
Statement of Newton's law of cooling: The rate of loss of heat by a body is directly proportional to the temperatire difference between the body and the surroundings, provided the differene is not very large, i.e. 
Rate of loss of heat from tha body α Mean temperaeture difference
 
 
Derivation of Newton's law from Stefan's law:Consider that a hot body at temperature T is surrounded by a medium at temperature T'. According to Stefan's law the net rate of loss of heat by the body is 
 

The rate of cooling of a body depends on the energy radiated by it.Hence, the rate of cooling of a body is proportional to the mean temperature difference between the body and its surroundings.Thus, Newton's law is only a special case of Stefan's law for small temperature difference.

Answered by Yashvanti Jain | 28 Mar, 2016, 12:21: PM

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