The energy needed to increase the temperature of 500 g of platinum was 4.5 kJ.The specific heat capacity of platinum is 150 J/kg°C.Calculate the temperature change that occurred._____ °CYou do not need to include units in your answer.
Question
The energy needed to increase the temperature of 500 g of platinum was 4.5 kJ.The specific heat capacity of platinum is 150 J/kg°C.Calculate the temperature change that occurred._____ °CYou do not need to include units in your answer.
Solution
To calculate the temperature change, we can use the formula for heat transfer:
Q = mcΔT
where: Q = heat energy absorbed or released (in joules or J) m = mass of the substance (in kilograms or 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 = 4.5 kJ = 4500 J (since 1 kJ = 1000 J) m = 500 g = 0.5 kg (since 1 g = 0.001 kg) c = 150 J/kg°C
We need to find ΔT.
Rearranging the formula for ΔT, we get:
ΔT = Q / (mc)
Substituting the given values into the formula, we get:
ΔT = 4500 J / (0.5 kg * 150 J/kg°C) = 60 °C
So, the temperature change that occurred is 60 °C.
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