Final answer:
To find the heat needed to raise the temperature of 550.0 g of wood from 0.0°C to 25.0°C with a specific heat of 2.03 J/g°C, you multiply the mass by the specific heat and the change in temperature. The calculation yields 27975.0 J, which is not one of the provided answer choices, indicating an error in the options.
Step-by-step explanation:
To calculate the amount of heat needed to convert the temperature of 550.0 g of wood from 0.0°C to 25.0°C given the specific heat of wood (2.03 J/g°C), we use the formula: q = m × c × Δ where: q is the heat energy (in joules) m is the mass (in grams) c is the specific heat (in J/g°C) ΔT is the change in temperature (°C) Substitute the given values: q = 550.0 g × 2.03 J/g°C × (25.0°C - 0.0°C) q = 550.0 g × 2.03 J/g°C × 25.0°C q = 27975.0 J The correct answer, which is not listed in the options, is actually 27975.0 J. Therefore, none of the given options (a) 1,407.5 J, (b) 28.0 J, (c) 55.0 J, or (d) 550.0 J is correct.