
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
In a container, there is a mixture of equal masses of nitrogen $N_{2}$ and helium He under pressure $p$. The absolute temperature of the gas is doubled, and all nitrogen molecules dissociate into atoms. Find the pressure of the gas mixture at this temperature. The molar masses of the gases are $\mu_{\text{He}} = 4$ g/mol and $\mu_{N_{2}} = 28$ g/mol. Assume the gases are ideal.

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