Generating stations 2

 Question = A steam power station has an overall of 20% and 0.6 kg of coal is burnt per kwh of electrical energy generated . Calculate the calorific value of fuel ?

Solution =  let , 1 kg be the calorific value of fuel =  x kcal , 

» 0.6 kg of coal by heat produce   = 0.6 x kcal ,  » heat equivalent of 1 kwh = 860 kcal ,  

» 1 kwh = 1000 watts × 3600 seconds = 36 ×10⁵ joules , 

» 4.18 joules = 1 calories ,  

» 1 joules = 1/4.18 calories ,  

» 36 ×10⁵ joules =  ( 36 × 10⁵ j × 1c )  ÷ 4.18 j , =  860 ×10³ calories , or 860 kcal , 

» efficiency (η) overall= electrical output in heat unit ÷ heat of combustion , 

» 0.2 = 860 kcal/0.6x kcal , » x = 860/0.6 × 0.2 , = 7166.67 kcal/kg , answer ✓ 

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