What is the specific latent heat of a 10.0mg object that transfers 740mJ during a change of state?
Question
What is the specific latent heat of a 10.0 mg object that transfers 740 mJ during a change of state?
Solution
The specific latent heat (L) of a substance is the amount of heat energy required to change the state of a unit mass of the substance without a change in temperature. It is given by the formula:
L = Q / m
where:
- L is the specific latent heat,
- Q is the heat energy transferred,
- m is the mass of the substance.
In this case, we are given:
- Q = 740 mJ = 740 * 10^-3 J (since 1 mJ = 10^-3 J),
- m = 10.0 mg = 10.0 * 10^-6 kg (since 1 mg = 10^-6 kg).
Substituting these values into the formula, we get:
L = (740 * 10^-3) / (10.0 * 10^-6) = 74000 J/kg.
So, the specific latent heat of the object is 74000 J/kg.
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