How much heat is absorbed by a 2000 kg granite boulder as energy from the sun causes its temperature to change from 10c to 29c?
q = mass x specific heat x delta T.
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To calculate the amount of heat absorbed by the granite boulder, we can use the formula:
Q = mcΔT
Where:
Q is the amount of heat absorbed,
m is the mass of the granite boulder,
c is the specific heat capacity of granite, and
ΔT is the change in temperature.
First, let's find the change in temperature:
ΔT = T2 - T1
= 29°C - 10°C
= 19°C
Now, we need to know the specific heat capacity of granite. The specific heat capacity of granite is approximately 0.8 J/g°C.
To calculate the amount of heat absorbed, we need to convert the mass of the granite boulder from kg to grams:
m = 2000 kg × 1000 g/kg
= 2,000,000 g
Now we can plug in the values into the equation to solve for Q:
Q = mcΔT
= 2,000,000 g × 0.8 J/g°C × 19°C
= 30,400,000 J
Therefore, the granite boulder absorbs 30,400,000 Joules of heat energy from the sun as its temperature changes from 10°C to 29°C.