
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
A cylinder of height \( H = 1.5 \) m and radius \( R = 0.4 \) m, filled with gas at atmospheric pressure (\( 10330 \, \kappa \, \Gamma / \boldsymbol{M}^{2} \)), is closed with a piston. Determine the work required for the isothermal compression of the gas when the piston is moved a distance \( h = 1.2 \) m inward in the cylinder.

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