What is the mass of an object with specific latent heat 199000J/kg that takes 1.09MJ to change state?
Question
What is the mass of an object with specific latent heat 199000J/kg that takes 1.09MJ to change state?
Solution
To find the mass of the object, we can use the formula for specific latent heat:
Q = mL
where: Q = heat energy required for the change of state (in joules) m = mass of the substance (in kg) L = specific latent heat (in joules per kg)
We are given: Q = 1.09 MJ = 1.09 * 10^6 J (since 1MJ = 10^6 J) L = 199000 J/kg
We can rearrange the formula to solve for m:
m = Q / L
Substituting the given values:
m = (1.09 * 10^6 J) / (199000 J/kg)
m = 5.48 kg
So, the mass of the object is approximately 5.48 kg.
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