efficiency of heat engine is 15% . The engine takes 1.8×10^9 joules energy per min from its boiler. How much heat per min is wasted from it?
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Given :
efficiency of the engine is 15 % .
The engine takes 1.8 × 10⁹ J per minute .
This means that in 60 s engine takes 1.8 × 10⁹ J .
This means that in 1 s engine takes 1.8 × 10⁹ J × 60
= > 108 × 10⁹ J
We know that efficiency = M.A / V.R
= > 15/100 = W/( 3 × 10¹¹ )
= > 3/20 × 10¹¹ × 3 = W
= > W = 9 × 10¹⁰ × 5
= > W = 45 × 10¹⁰ J/s
Let heat be Q.
Q = W - w
= Q = 108 × 10¹¹ - 45 × 10¹⁰
= Q = 10¹⁰ ( 1080 - 45 )
= Q = 10¹⁰ × 1035
In 1 minute :
Q = 10¹⁰ × 1035 / 60
Q = 17.25 × 10¹⁰ J
ANSWER :
1.725 × 10¹¹ J
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