
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 thermally insulated vessel is divided into two parts by a heat-conducting partition. The first part contains helium at a temperature of \(127{ }^{\circ} \mathrm{C}\) with a quantity of \(v_{1}=0.2\) moles. The second part contains helium at a temperature of \(7{ }^{\circ} \mathrm{C}\) with a quantity of \(v_{2}=0.8\) moles.

1) What temperature (in degrees Celsius) will be established in the vessel after reaching thermal equilibrium?
2) Find the ratio of the final to the initial pressures in the first part of the vessel.

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