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On planet Tralfamadore the cool atmosphere is rich in froklom molecules. Spherical life forms called sporons feed on these molecules and obtain energy through a Carnot cycle. When a sporon that has injested froklom gas has isothermally contracted to a trigger volume. it violcntly squeczes itsclf, reducing its volume by half. At this point, its interior achieves the combustion temperature at which froklom fuses exothermically to produce klombactic acid. At the point of combustion, a sporon has radius $8.0 \mathrm{~cm}$ and internal pressure $20.3 \mathrm{kPa}$. The sporon swells during the reaction period, maintaining constant temperature until its injested froklom is depleted. The sporon continues to swell rapidly until its internal temperature matches the ambient lemperature of $123 \mathrm{~K}$ and its gaugc pressure is zero. Then it contracts slowly, cmitting klombactic acid while simultaneously injesting froklom from the atmosphere. When its raclius shrinks by a factor of 3 it reaches the trigger volume, which starts another cycle. Aside from the sporon's skin membrane, all substances behave like ideal gases. Froklom gas has a ratio of heat capacities of $1.30 .$ (a) What is the combustion temperature at which froklom fuses? (b) What is the ambicnt pressure on Tralfamadore? (c) If a sporon generates $60 \mathrm{~kJ}$ of work each hour, how much heat does it draw in per minute? (d) How much heat is rejected back to the atmosphere per minute?

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