Calculate the energy needed to increase the temperature of 3 kg of platinum from 18 °C to 32 °C.The specific heat capacity of platinum is 150 J/kg°C.You must include units in your answer.
Question
Calculate the energy needed to increase the temperature of 3 kg of platinum from 18 °C to 32 °C.The specific heat capacity of platinum is 150 J/kg°C.You must include units in your answer.
Solution
To calculate the energy needed to increase the temperature of a substance, we can use the formula:
Q = mcΔT
where: Q is the heat energy, m is the mass of the substance, c is the specific heat capacity of the substance, and ΔT is the change in temperature.
Given: m = 3 kg, c = 150 J/kg°C, and ΔT = 32°C - 18°C = 14°C,
we can substitute these values into the formula:
Q = (3 kg) * (150 J/kg°C) * (14°C) = 6300 J
So, the energy needed to increase the temperature of 3 kg of platinum from 18 °C to 32 °C is 6300 Joules.
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