A 144 kg park bench made of iron sits in the sun and its temperature increases from 25 degrees celsius to 35 degrees celsius. How many kilojoules of energy does the bench absorb?
It would have to use the equation Q=mTCP
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To calculate the energy absorbed by the bench, you need to use the formula:
Q = m * c * ΔT
where:
Q is the energy absorbed (in kilojoules),
m is the mass of the bench (in kilograms),
c is the specific heat capacity of iron (in kilojoules per kilogram-degree Celsius),
ΔT is the change in temperature (in degrees Celsius).
Let's take it step by step.
First, determine the change in temperature:
ΔT = Final temperature - Initial temperature = 35 °C - 25 °C = 10 °C
Next, find the specific heat capacity of iron. The specific heat capacity of iron is approximately 0.45 kilojoules per kilogram-degree Celsius.
Now, plug in the values into the formula:
Q = 144 kg * 0.45 kilojoules/(kg·°C) * 10 °C
By multiplying these values, we get:
Q = 648 kilojoules
Therefore, the bench absorbs 648 kilojoules of energy.