Final answer:
To raise the temperature of a 150g sample of gold from 25°C to 175°C, 693 calories are required. This is calculated using the heat transfer formula with the specific heat capacity of gold, 0.0308 cal/g°C.
Step-by-step explanation:
To find how many calories are required to raise the temperature of a 150g sample of gold from 25°C to 175°C, we can use the formula for heat transfer, which is:
q = m × c × ΔT
Where:
- q = heat in calories
- m = mass of the sample in grams
- c = specific heat capacity in cal/g°C (for gold, it is 0.0308 cal/g°C)
- ΔT = change in temperature in °C (175°C - 25°C = 150°C)
Plugging the values into the formula:
q = 150g × 0.0308 cal/g°C × 150°C
q = 150 × 0.0308 × 150
q = 693 calories
Therefore, 693 calories of energy are required to heat 150g of gold from 25°C to 175°C.