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?

Question

Nora Arzate · Accepted Answer

6.0 kilos 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#

Emily Abbate · Answer

undefined To find the mass of the concrete statue, we can use the formula:

Q = mcΔT

Where:
Q = thermal energy gained (90,000 J)
m = mass (unknown)
c = specific heat capacity of concrete (600 J/(kg·K))
ΔT = change in temperature (40°C - 15°C = 25°C)

Rearranging the formula to solve for mass (m), we get:

m = Q / (cΔT)

Substituting the given values:

m = 90,000 J / (600 J/(kg·K) * 25°C)

m = 6 kg

So, the mass of the concrete statue is 6 kg.