Calculate the amount of heat required to heat a 3.3kg gold bar from 24 degrees celsius to 61 degrees celsius. Specific heat capacity of gold is 0.128 J/g degrees Celsius!
Express your answer using two significant figures.
q = mass x specific heat Au x (Tfinal-Tinitial)
10.1
To calculate the amount of heat required to heat the gold bar, you can use the formula:
Q = m * c * ΔT
Where:
Q is the amount of heat
m is the mass of the gold bar
c is the specific heat capacity of gold
ΔT is the change in temperature
First, convert the mass of the gold bar from kilograms to grams:
3.3 kg = 3,300 g
Next, calculate the change in temperature:
ΔT = 61°C - 24°C = 37°C
Now, apply the formula:
Q = (3,300 g) * (0.128 J/g°C) * (37°C)
Q = 157,152 J
Finally, express the answer using two significant figures:
Q ≈ 160,000 J