Calculate the energy needed to change the temperature of 2 kg of granite from 21 °C to 34 °C.The specific heat capacity of granite is 774 J/kg°C.You must include units in your answer.
Question
Calculate the energy needed to change the temperature of 2 kg of granite from 21 °C to 34 °C.The specific heat capacity of granite is 774 J/kg°C.You must include units in your answer.
Solution
To calculate the energy needed to change the temperature of a substance, you can use the formula:
Q = mcΔT
where: Q = heat energy (Joules, J) m = mass (kilograms, kg) c = specific heat capacity (Joules per kilogram per degree Celsius, J/kg°C) ΔT = change in temperature (degrees Celsius, °C)
Given: m = 2 kg c = 774 J/kg°C ΔT = 34°C - 21°C = 13°C
Substitute the given values into the formula:
Q = (2 kg) * (774 J/kg°C) * (13°C)
Q = 20172 J
So, the energy needed to change the temperature of 2 kg of granite from 21 °C to 34 °C is 20172 Joules.
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