A body cools from 70 degree Celsius to 50 degree celsius in 5 minutes. temperature of surroundings is 20 degree celsius. temperature after next 10 minutes is
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The temperature after next 10 minutes is Tf = 26° C.
Explanation:
dθ / dt = K( θ1 + θ2 / 2 − θo)
+ 20 /5 = - K ( 70 - 20)
K = + 20 / 5 x 50
K = 2 / 25
T - 50 / 10 = - 2/25 (50 - 20)
T - 50 / 10 = - 2/25 x 30
T - 50 = - 24
T = 26
Tf = 26° C
Thus the temperature after next 10 minutes is Tf = 26° C.
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