Determine the time it would take to change the temperature by 10°C.
The knowns for conductive heat transfer are given below. First, calculate the rate of conductive heat transfer. Then, determine the time it would take to change the temperature by 10°C.
k = 0.8
A = 10 m^2
T1 = 290 K
T2 = 260 K
d = 0.2 m
The conductive heat transfer is given by
q/t = -kA(dt/dx)
Here, q/t = .8×10×((290-260)/0.2)
q/t = 1200 Watts
To determinete the time required, we need to know the specific heat of the object ( or atleast what the object is ,( whether, air or water or any other)) and also the mass.
The equation of heat is given by
Q = m × Cp × dT
It is only given that dT = 10 degree Celsius
Assuming mass of 1kg and the matter to be water (Cp = 4.18 kJ/ kgK)
Q = 1 × 4180 × 10
Q = 41800 Joules
Now the time taken for the increase in temperature is
t = Q ÷ q
= 41800 ÷ 1200
= 34.83 seconds.
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