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How much energy must be added to 5 kg of wood to increase its temperature from 30 degrees to 45 degrees Celsius if its specific heat is 1700 J/ (kg C)?

User Silx
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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.

User Zabbarob
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