Question

In the morning, a concrete statue of specific heat = 600 j/(kg k) has a temperature of 15°c. during the day, it sits in the sun and warms up to 40°c, gaining 90,000 j of thermal energy. what is its mass?

Answer 1

6.0 kg

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The equation we need to use is: `∆Q=mc∆θ`

The following data is given:
`∆Q=90000J`
`c=600 J kg^-1 K^-1`
`∆θ=40-15=25 ºC`

Note that it is not necessary to convert the temperatures into Kelvin as the temperature difference is the same (`313-288=25K`).

Rearrange for mass and sub. in values:
`m=(∆Q)/(c∆θ)=90000/(600×25)=6.0kg`