NEET Class neet Answered
the temperature of the pond is 0 degree celsius while that of the surrounding atmosphere is -20 degree celsius. Ifthe density of the ice is ρ coefficient of thermal conductivity is k and latent heat of melting is L then the thickness z of ice layer formed increases as function of time t is
a) z^2=60kt/ρ L
b)z=√(40kt/ρ L)
c)z^2=40k√t/ρ L
d)Z^2=40kt/ρ L
Asked by sandhiya14murugavel | 03 Jun, 2019, 09:30: AM
Expert Answer
Equation for heat conduction across the ice of thickness y between water at 0° C and environment at -20°C is given by
.........................................(1)where dQ is heat energy conducted in dt seconds through the ice of thickness y and Area A.
Thermal conductivity of ice is considered as k.
If ice is formed in a layer of thickness dy due to heat loss dQ, then dQ = m×L = A×dy×ρ×L ............................(2)
where m is mass, L is latent heat and ρ is density of ice
using eqn.(1) and (2), 
............................(3)
............................(3)By Rearranging eqn.(3), we have, 
........................(4)
........................(4)If in a time t seconds thickness of new ice formed is z, then
Answered by Thiyagarajan K | 03 Jun, 2019, 01:04: PM
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