What is the mass of an object with a specific heat capacity of 750J/(kg ∘ C) that needs 5625J to have its temperature raised by 15.0 ∘ C?
Question
What is the mass of an object with a specific heat capacity of 750 J/(kg ∘ C) that needs 5625 J to have its temperature raised by 15.0 ∘ C?
Solution
To find the mass of the object, we can use the formula for heat transfer:
Q = mcΔT
where: Q = heat energy absorbed or released (in joules) m = mass of the substance (in kilograms) c = specific heat capacity (in joules per kilogram per degree Celsius) ΔT = change in temperature (in degrees Celsius)
We can rearrange the formula to solve for mass (m):
m = Q / (cΔT)
Substituting the given values:
m = 5625 J / (750 J/(kg°C) * 15.0°C)
m = 5625 J / 11250 J/kg
m = 0.5 kg
So, the mass of the object is 0.5 kilograms.
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