
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
An engineer is designing an engine. Each cycle, it ignites a negligible amount of fuel, releasing  $ 2000 \, \text{J} $  of energy into the cubic decimeter of air, which we assume here is gaseous nitrogen at  $ 20^\circ \, \text{C} $  at  $ 1 \, \text{atm} $  in the engine in a process which we can regard as instantaneous and isochoric. It then expands adiabatically until its pressure once again reaches  $ 1 \, \text{atm} $ , and shrinks isobarically until it reaches its initial state. What is the efficiency of this engine?

*Problem proposed by B. Dejean*

Present the answer in LaTex format: \boxed{Your answer}
user