Chemical Engineering > GATE 2015 > Transient Heat Transfer
A heated solid copper sphere (of surface area A and volume V) is immersed in a large body of cold fluid. Assume the resistance to heat transfer inside the sphere to be negligible and heat transfer coefficient (h), density (ρ), heat capacity (C), and thermal conductivity (k) to be constant. Then, at time t, the temperature difference between the sphere and the fluid is proportional to:
A
exp[-hA/(ρVC)t]
B
exp[-( ρVC)/(hA)t]
C
exp[-4πk/(ρCA)t]
D
exp[-( ρCA)/(4πk)t]

Correct : a

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