Final answer:
To raise the temperature of 550g of wood from -15.0°C to 10.0°C, 27912.5 J of heat is needed, calculated using the formula Q = mcΔT with specific heat capacity of wood and the given temperatures.
Step-by-step explanation:
To determine how much heat is needed to raise the temperature of 550g of wood from -15.0°C to 10.0°C, we apply the formula for heat transfer Q = mcΔT, where m is the mass, c is the specific heat capacity, and ΔT is the change in temperature.
The mass m = 550g, the specific heat capacity c = 2.03 J/g°C and the change in temperature ΔT = (10.0 - (-15.0))°C = 25.0°C. Plugging these values into the formula:
Q = (550g) × (2.03 J/g°C) × (25.0°C)
Q = (1116.5 J/°C) × (25.0°C)
Q = 27912.5 J
So, 27912.5 J of heat is required to raise the temperature of 550g of wood from -15.0°C to 10.0°C.