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Formula of Heat Release Rate

The heat release rate formula from the first law of thermodynamics is given by,

ΔQc = ΔW + ΔQh + ΔU

Where,

  • Qc is the Chemical energy released in KJ/Kg
  • W is the Work output in KJ/Kg
  • Qh is the Heat transfer in KJ/Kg
  • U is the Internal energy of the contents in KJ/Kg

Solved Examples

Example 1

Determine the heat released of a cylinder whose internal energy is 245 KJ/Kg and heat transfer is 420 KJ/Kg for the work 280 KJ/Kg.

Solution:

Given parameters are

Work = 280 KJ/Kg

Internal energy = 245 KJ/Kg

Heat transfer = 420 KJ/Kg

Substitute all the values in the given formula.

ΔQc= ΔW + ΔQh + ΔU

      = 280 + 420 + 245

      = 945 KJ/Kg

Therefore, Heat release rate = 945 KJ/Kg

Example 2

The heat produced in a burner is 280 KJ/Kg and internal energy is 430 KJ/Kg. Determine the heat transfer for the work done 260 KJ/Kg.

Solution:

Given parameters are,

Work = 260 KJ/Kg

Internal energy = 430 KJ/Kg

Heat transfer = 280 KJ/Kg

Substitute all the values in the given formula.

ΔQc = ΔW + ΔQh + ΔU

= 260+ 430 + 280

Therefore, heat release rate = 970 KJ/Kg

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