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?

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Answer 1 · 2014-06-17T20:16:40

6.0 kg

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#