
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

Determine the mass \( m \) of helium needed to fill an empty balloon with mass \( m_{1} = 10 \) g so that the balloon can ascend. Assume the temperature and pressure of the gas in the balloon are equal to the temperature and pressure of the air. The molar mass of helium \( M_{\mathrm{r}} = 4 \) g/mol and the molar mass of air \( M_{\mathrm{B}} = 29 \) g/mol.

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