
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
Calculate the work $A$ done during the isothermal ( $T=$ const) expansion of an ideal gas (the pressure $P$ is related to the absolute temperature $T$, volume $V$, mass $m$, molar mass $\mu$, and the gas constant $R$ by the equation $\left.PV=\frac{m}{\mu} RT\right)$.

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