How much heat in joules is required to heat a 44g sample of aluminum from 76 F to 148 F?
To calculate the amount of heat required to heat a sample of aluminum, you can use the equation:
q = mcΔT
Where q is the amount of heat (in joules), m is the mass of the sample (in grams), c is the specific heat capacity of aluminum (0.897 J/g°C), and ΔT is the change in temperature (in °C).
First, calculate the change in temperature:
ΔT = 148°F - 76°F = 72°F
However, the specific heat capacity of aluminum is provided in °C, so it needs to be converted to °F:
0.897 J/g°C * (9/5) = 1.6154 J/g°F
Now, convert the mass of aluminum from grams to joules:
m = 44g
Finally, substitute the values into the equation:
q = (44g) * (1.6154 J/g°F) * (72°F)
Calculating this equation will give you the amount of heat required to heat the aluminum sample in joules.