
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
The volume of an ideal gas increases by $n=2$ times in an isobaric process, and then decreases to its initial value in a process where the pressure $P$ of the gas is directly proportional to its volume $V$.
1. By what factor does the temperature of the gas change during the volume reduction process?
2. Find the ratio of the work done by the gas in the isobaric process to the work done on the gas by the external pressure during the volume reduction process.

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