Final answer:
To increase the temperature of 5 kg of wood from 30 degrees to 45 degrees Celsius with a specific heat of 1700 J/(kg C), 127,500 joules of energy are required.
Step-by-step explanation:
To determine the energy required to increase the temperature of 5 kg of wood from 30 degrees to 45 degrees Celsius, we use the formula:
Q = m × c × ΔT
Where:
- Q is the thermal energy (in joules)
- m is the mass of the substance (in kilograms)
- c is the specific heat capacity (in J/(kg°C))
- ΔT is the change in temperature (in degrees Celsius)
Given that:
- m = 5 kg
- c = 1700 J/(kg°C)
- ΔT = (45°C - 30°C) = 15°C
The calculation becomes:
Q = 5 kg × 1700 J/(kg°C) × 15°C
Q = 127,500 J
Therefore, 127,500 joules of energy must be added to the wood to increase its temperature from 30 degrees to 45 degrees Celsius.