Heat Energy Gold 0Edc27
1. **State the problem:** We need to find the amount of heat energy required to raise the temperature of 40 grams of gold from 22°C to 85°C.
2. **Formula used:** The heat energy $Q$ required to change the temperature of a substance is given by:
$$Q = mc\Delta T$$
where:
- $m$ is the mass of the substance (in grams),
- $c$ is the specific heat capacity (in J/(g°C)),
- $\Delta T$ is the change in temperature (in °C).
3. **Calculate the temperature change:**
$$\Delta T = T_{final} - T_{initial} = 85 - 22 = 63\,°C$$
4. **Substitute the values:**
$$Q = 40 \times 0.129 \times 63$$
5. **Calculate the heat energy:**
$$Q = 40 \times 0.129 \times 63 = 325.08\, \text{J}$$
6. **Interpretation:** It takes 325.08 joules of heat energy to raise the temperature of 40 grams of gold from 22°C to 85°C.