5.0GJ of energy is absorbed by 1.25×10 4 kg of a pure metal at its melting point. It melts and no temperature change is recorded. What is the latent heat of fusion of this metal?
Question
5.0GJ of energy is absorbed by 1.25×10 4 kg of a pure metal at its melting point. It melts and no temperature change is recorded. What is the latent heat of fusion of this metal?
Solution
To find the latent heat of fusion, we can use the formula:
Q = mL
where: Q = heat energy absorbed or released (in this case, 5.0GJ or 5.0 x 10^9 J) m = mass of the substance (in this case, 1.25 x 10^4 kg) L = latent heat of fusion (which we are trying to find)
Rearranging the formula to solve for L gives us:
L = Q/m
Substituting the given values into the formula gives us:
L = (5.0 x 10^9 J) / (1.25 x 10^4 kg)
Solving this gives us:
L = 4.0 x 10^5 J/kg
So, the latent heat of fusion of the metal is 4.0 x 10^5 J/kg.
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