Consider the shown case of a freezing lake due to negative environmental temperature (– θ°C). Thickness (x) of ice layer is small in comparison to depth of lake. Rate of increase in x will be greater

Engineering

Physics

Conduction of Heat

Question

if environmental temperature decreases

for larger thickness of ice layer

for smaller thickness of ice layer

if environmental temperature increases

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$Q = \frac{KA (ΔT)}{x} = \frac{KA (0 - (θ))}{x}; \frac{dθ}{dt} = \frac{KAθ}{x}$