Final answer:
To warm 0.052 kg of gold from 30°C to 120°C, the amount of heat needed is approximately 600.12 J.
Step-by-step explanation:
To calculate the amount of heat needed to warm the gold, we can use the formula:
Q = mcΔT
Where Q is the heat, m is the mass of the substance (0.052 kg), c is the specific heat capacity of gold (0.129 J/g °C), and ΔT is the change in temperature (120°C - 30°C = 90°C).
First, we need to convert the mass of gold to grams:
0.052 kg x 1000 g/kg = 52 g
Now we can calculate the heat:
Q = (52 g)(0.129 J/g °C)(90°C)
Q = 600.12 J
Therefore, the amount of heat needed to warm 0.052 kg of gold from 30°C to 120°C is approximately 600.12 J.