The equation below can be used to find the specific heat capacity of a substance. Work out the specific heat capacity of a substance if it takes 5,200J of energy to heat 2kg of it from 42°C to 47°C.
Question
The equation below can be used to find the specific heat capacity of a substance. Work out the specific heat capacity of a substance if it takes 5,200J of energy to heat 2kg of it from 42°C to 47°C.
Solution
The equation for specific heat capacity is:
Q = mcΔT
where: Q = heat energy absorbed or released (in joules, J) m = mass of the substance (in kilograms, kg) c = specific heat capacity (in joules per kilogram per degree Celsius, J/kg°C) ΔT = change in temperature (in degrees Celsius, °C)
We are given: Q = 5200 J m = 2 kg ΔT = 47°C - 42°C = 5°C
We need to find c. Rearranging the equation for c gives:
c = Q / (m * ΔT)
Substituting the given values into the equation gives:
c = 5200 J / (2 kg * 5°C) = 520 J/kg°C
So, the specific heat capacity of the substance is 520 J/kg°C.
Similar Questions
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