What is the mass of an object with a specific heat capacity of 2100J/(kg ∘ C) that needs 10500J to have its temperature raised by 20 ∘ C?
Question
What is the mass of an object with a specific heat capacity of 2100 J/(kg ∘ C) that needs 10500 J to have its temperature raised by 20 ∘ 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 = 10500J / (2100J/(kg ∘ C) * 20 ∘ C)
m = 10500J / 42000J/kg
m = 0.25 kg
So, the mass of the object is 0.25 kilograms.
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