Answer:
617.13 joules of heat
Step-by-step explanation:
To calculate the amount of heat needed to warm 0.053 kg of gold from 30°C to 120°C, you can use the specific heat capacity formula:Q = m * c * ΔTWhere:
Q = heat energy (in joules)
m = mass of the substance (in kilograms)
c = specific heat capacity of the substance (in joules per kilogram per degree Celsius)
ΔT = change in temperature (in degrees Celsius)
First, you need to find the specific heat capacity of gold. The specific heat capacity of gold is approximately 129 J/(kg·°C).
Next, calculate the change in temperature:
ΔT = 120°C - 30°C = 90°C
Now, plug the values into the formula:
Q = 0.053 kg * 129 J/(kg·°C) * 90°C
Q = 617.13 joules
So, you would need 617.13 joules of heat to warm 0.053 kg of gold from 30°C to 120°C.