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6)an inventor claims to have devised a cylinder engine for use in space vehicles that operates with a nuclear-fuel-generated energy source whose temperature is 920 r and sink at 490 r that radiates waste heat to deep space. he also claims that the engine produces 4.5 hp while rejecting heat at a rate of 15000 btu/h. is this claim valid?

Sagot :

Using concepts of Carnot Cycle, we got that inventor claim is valid means the engine is possible.

We have nuclear-fuel engine power generation value=4.5hp

Also, we are given heat which is rejected to the surrounding by that engine which is equal to 15000 btu/h

We know that 1btu/h=0.00039 horsepower

Therefore 15000 btu/h=15000×0.00039 hp

                 15000 btu/h=5.85hp

Now, we calculate total heat addition which is given

Heat addition = Heat rejection + Power produce

Heat addition =5.85+4.5

Heat addition =10.35hp

So, Efficiency of Engine is

            η = (Power Produce)/Heat addition

            η=(4.5/10.35)

            η=0.434

Now check the maximum efficiency can be possible by using Carnot heat engine

As we know that efficiency of Carnot heat engine given as

             η     = 1-[tex]T_L[/tex]/[tex]T_H[/tex]

We are given Temperature of sink =490r and Temperature of source=920r

Therefore, on putting the values,

             η=1-(490/920)

             η=(430/920)

             η=0.467

So the efficiency of Carnot cycle is greater than the efficiency of above given engine. So this engine is possible. It means that inventor claim is  valid.

Hence, inventor claim is valid and given engine is possible.

To know more about Carnot Engine, visit here:

https://brainly.com/question/13040188

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