
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
One mole of an ideal gas is expanded in such a way that during the process, the pressure of the gas is directly proportional to its volume. During this, the gas is heated by $\Delta T=100{ }^{\circ} \mathrm{C}$. Determine the work done by the gas during this process. The gas constant is $R=8.31$ J/(mol$\cdot$K).

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