423. A state has total installed power capacity of 50,000 MW comprising 65\% thermal, 20\% hydro, and 15\% nuclear. If industrial sector consumes 35\% of total electricity while domestic sector consumes 21\%, what would be the approximate power demand (in MW) from thermal sources if industrial consumption increases by 10 percentage points while keeping total generation constant?
Key Concept: Thermal Power, Hydroelectric Power, Consumption Patterns
b) 35,750 MW
[Solution Description]
First calculate current total power consumption = Total installed capacity = 50,000 MW (since generation equals consumption). Current industrial consumption = 35\% of 50,000 = 17,500 MW. New industrial consumption = (35\% + 10\%) = 45\% = 22,500 MW. The increase is 5,000 MW. Since thermal provides 65\% of total capacity = 32,500 MW. Assuming additional demand is met proportionally from all sources, thermal share would supply 65\% of 5,000 MW increase = 3,250 MW. Therefore new thermal demand = 32,500 + 3,250 = 35,750 MW.
Your Answer is correct.
b) 35,750 MW
[Solution Description]
First calculate current total power consumption = Total installed capacity = 50,000 MW (since generation equals consumption). Current industrial consumption = 35\% of 50,000 = 17,500 MW. New industrial consumption = (35\% + 10\%) = 45\% = 22,500 MW. The increase is 5,000 MW. Since thermal provides 65\% of total capacity = 32,500 MW. Assuming additional demand is met proportionally from all sources, thermal share would supply 65\% of 5,000 MW increase = 3,250 MW. Therefore new thermal demand = 32,500 + 3,250 = 35,750 MW.