How much energy will be released during crystallization and cooling from the melting point

How much energy will be released during crystallization and cooling from the melting point to 27 degrees of a lead plate measuring 2 by 5 by 10 centimeters.

t1 = 27 C
t2 = 327 C – melting point of lead
a = 2 cm = 0.02 m – plate length
b = 5 cm = 0.05 m – plate width
s = 10 cm = 0.1 m – plate thickness
L = 0.25 * 10 ^ 5 J / kg – specific heat of fusion of lead
С = 140 J / kg * С – specific heat of lead
Q -?
Q1 = L * m – the amount of heat released during crystallization of lead
Q2 = C * m * (t2-t1) – the amount of heat released when cooling the lead
Q = Q1 + Q2
m = p * V
p = 11300 kg / m ^ 3 – lead density
V = a * b * c
m = 0.02 * 0.05 * 0.1 * 11300 = 1.13 kg
Q1 = 0.25 * 10 ^ 5 * 1.13 = 28250 J
Q2 = 140 * 1.13 * (327-27) = 47460 J
Q = 28250 +47460 = 75710 J



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