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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=4.5hpAlso, we are given heat which is rejected to the surrounding by that engine which is equal to 15000 btu/hWe know that 1btu/h=0.00039 horsepowerTherefore 15000 btu/h=15000×0.00039 hp 15000 btu/h=5.85hpNow, we calculate total heat addition which is given Heat addition = Heat rejection + Power produceHeat addition =5.85+4.5Heat addition =10.35hpSo, Efficiency of Engine is η = (Power Produce)/Heat addition η=(4.5/10.35) η=0.434Now check the maximum efficiency can be possible by using Carnot heat engineAs 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=920rTherefore, on putting the values, η=1-(490/920) η=(430/920) η=0.467So 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#SPJ4