A new renewable energy system is designed to harvest energy from wind. The total energy required to build the system is 240 kJ. The energy yield ratio of the system is 14:3. What will be the total energy provided by the system over its lifetime?
Answer & step-by-step solution
An energy yield ratio of 14:3 means energy delivered : energy invested = 14 : 3. For 240 kJ invested, lifetime energy yield is 240×14/3 = 1120 kJ.
Concept & Reasoning
Energy yield ratio compares useful lifetime energy output with embodied/build energy. Treat the ratio as a direct proportion. The result should be greater than the construction energy because the numerator 14 exceeds denominator 3.
How to Solve It in the Exam
Ratio output:input → multiply build energy by 14/3.
Important Exam Point
Do a magnitude check: yield must exceed 240 kJ.
Quick Trick
Ratio output:input → multiply build energy by 14/3.
Common Mistake
Inverting 14:3 and obtaining a value below the energy invested.
पवन से ऊर्जा प्राप्त करने के लिए एक नई नवीकरणीय ऊर्जा प्रणाली बनाई गई है। प्रणाली के निर्माण में कुल 240 kJ ऊर्जा लगी। प्रणाली का ऊर्जा उपज अनुपात (energy yield ratio) 14:3 है। अपने जीवनकाल में प्रणाली कुल कितनी ऊर्जा देगी?
उत्तर और चरणबद्ध हल
A — 1,120 kJ। ऊर्जा उपज अनुपात 14:3 = दी गई ऊर्जा : लगाई गई ऊर्जा। 240 kJ लगाने पर जीवनकाल उपज = 240×14/3 = 1120 kJ।
विस्तृत हल (मूल भाषा में)
Concept & Reasoning
Energy yield ratio compares useful lifetime energy output with embodied/build energy. Treat the ratio as a direct proportion. The result should be greater than the construction energy because the numerator 14 exceeds denominator 3.
How to Solve It in the Exam
Ratio output:input → multiply build energy by 14/3.
Important Exam Point
Do a magnitude check: yield must exceed 240 kJ.
Quick Trick
Ratio output:input → multiply build energy by 14/3.
Common Mistake
Inverting 14:3 and obtaining a value below the energy invested.
પવનમાંથી ઊર્જા મેળવવા એક નવી પુનઃપ્રાપ્ય ઊર્જા પ્રણાલી બનાવવામાં આવી છે. પ્રણાલીના નિર્માણમાં કુલ 240 kJ ઊર્જા લાગી. પ્રણાલીનો ઊર્જા ઉપજ ગુણોત્તર (energy yield ratio) 14:3 છે. તેના આયુષ્ય દરમિયાન પ્રણાલી કુલ કેટલી ઊર્જા આપશે?
જવાબ અને પગલાવાર ઉકેલ
A — 1,120 kJ. ઊર્જા ઉપજ ગુણોત્તર 14:3 = આપેલી ઊર્જા : રોકેલી ઊર્જા. 240 kJ રોકતાં આયુષ્ય ઉપજ = 240×14/3 = 1120 kJ.
વિગતવાર ઉકેલ (મૂળ ભાષામાં)
Concept & Reasoning
Energy yield ratio compares useful lifetime energy output with embodied/build energy. Treat the ratio as a direct proportion. The result should be greater than the construction energy because the numerator 14 exceeds denominator 3.
How to Solve It in the Exam
Ratio output:input → multiply build energy by 14/3.
Important Exam Point
Do a magnitude check: yield must exceed 240 kJ.
Quick Trick
Ratio output:input → multiply build energy by 14/3.
Common Mistake
Inverting 14:3 and obtaining a value below the energy invested.
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