A body cools from 80°C to 70°C in 5 minutes
and to 62°C in the next 5 minutes, calculate
temperature of the surrounding.
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Answer:
30 degrees
Explanation:
average temperature
T1 = 80+70/2 = 75 degrees Celsius
average temperature
T2 = 70+62/2 = 66 degrees Celsius
we know that dT/dt = - K ( T - T ° )
where T is the average temperature and T° Is surrounding area temperature
10/5 = - K ( 75 - T° ) ................(1)
8/5 = - K ( 66 - T°) ....................(2)
divide 1 and 2
10/8 = 75 - T°/ 66 - T°
T° = 30 degrees Celsius
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