How many joules (J) are needed to increase the temperature of 46.1 g of aluminum from 10.4C to 57.9C?

To calculate the joules needed to increase the temperature of aluminum, use the formula (Q = mc\Delta T), where (Q) is the heat energy (in joules), (m) is the mass (in grams), (c) is the specific heat capacity of aluminum (approximately 0.897 J/g°C), and (\Delta T) is the change in temperature. Here, (\Delta T = 57.9°C - 10.4°C = 47.5°C). Thus, (Q = 46.1 , \text{g} \times 0.897 , \text{J/g°C} \times 47.5 , \text{°C} \approx 2043.6 , \text{J}). Therefore, about 2044 joules are needed.