A hot body placed in a surrounding of temperature T 0 . Its temperature at t = 0 is T 1 . The specific heat capacity of the body is s and its mass is m. Assuming Newton's law of cooling to be valid, find
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Q max = ms (T 1 – T 0 )
The body will keep losing heat until it comes in thermal equilibrium with the surrounding
0.5 ms (T 1 – T 0 ) = ms (T 1 – T)
⇒ T = 0.5 (T 1 + T 0 )
and 
= – k (T – T 0 )
= 
or t = 
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