
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
Given an insulating-walled container filled with gas at normal conditions and volume $V$. The container has a small hole through which the gas can flow freely. How much heat must be added to increase the gas temperature in the container to $T_{1}$? The molar mass of the gas is $M$ and its specific heat at constant pressure is $c_{p}$. The external pressure is $1 \text{ atm}$. (The walls of the container do not absorb heat.)

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