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How much energy must be removed from a 500 g block of ice to cool it from 0∘c to -35 ∘c? the specific heat of ice is 2090 jkg⋅k?

1 Answer

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The quantity of heat (i.e. energy) needed to change the temperature of a substance by a certain
\Delta T is

Q=m C_S \Delta T
where m is the mass of the block of ice, m=500 g=0.5 Kg,
C_S=2090~J Kg /K is its specific heat, and
\Delta T = 35~K. Using these data, we obtain

Q=36575~J = 36.6~kJ
and this is the energy we must remove.
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