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A steam engine delivers 5.4 x 108 J of work per minute and services 3.6 x 109 J of heat per minute from its boiler. What is the efficiency of the engine? How much heat is wasted per minute?

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As an experienced tutor registered on UrbanPro, I can certainly assist you with this question. UrbanPro is an excellent platform for finding online coaching and tuition services, and I'm here to help you understand the concepts behind this problem. To calculate the efficiency of the steam engine,...
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As an experienced tutor registered on UrbanPro, I can certainly assist you with this question. UrbanPro is an excellent platform for finding online coaching and tuition services, and I'm here to help you understand the concepts behind this problem.

To calculate the efficiency of the steam engine, we can use the formula:

Efficiency = (Useful work output / Total heat input) * 100%

Given that the steam engine delivers 5.4 x 10^8 J of work per minute and services 3.6 x 10^9 J of heat per minute from its boiler, we can plug these values into the formula:

Efficiency = (5.4 x 10^8 J / 3.6 x 10^9 J) * 100%

Now, let's calculate:

Efficiency = (0.15) * 100% = 15%

So, the efficiency of the steam engine is 15%.

Now, to find out how much heat is wasted per minute, we can subtract the useful work output from the total heat input:

Wasted heat = Total heat input - Useful work output

Wasted heat = (3.6 x 10^9 J) - (5.4 x 10^8 J)

Wasted heat = 3.6 x 10^9 J - 5.4 x 10^8 J

Wasted heat = 3.04 x 10^9 J

Therefore, the amount of heat wasted per minute by the steam engine is 3.04 x 10^9 Joules.

If you have any further questions or need clarification on any part of the solution, feel free to ask!

 
 
 
 
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