
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
Nitrogen's hydrides and oxides are widely used in industrial production and national defense construction. Answer the following questions:

(1) The number of electrons in the L shell of a nitrogen atom is _______;

(2) Hydrazine can be used as fuel for rocket engines, reacting with the oxidizer $\rm{N_{2}O_{4}}$ to produce $\rm{N_{2}}$ and steam. Given: $\rm{N_{2}(g) + 2O_{2}(g) = N_{2}O_{4}(l)}$ $\Delta H_{1} = -19.5 \, kJ\cdot mol^{-1}$ and $\rm{N_{2}H_{4}(l) + O_{2}(g) = N_{2}(g) + 2H_{2}O(g)}$ $\Delta H_{2} = -534.2 \, kJ\cdot mol^{-1}$, write the thermochemical equation for the reaction of hydrazine and $\rm{N_{2}O_{4}}$ _______;

(3) Given $\rm{H_{2}O(l) = H_{2}O(g)}$ $\Delta H_{3} = +44 \, kJ\cdot mol^{-1}$, the thermochemical equation representing the combustion heat of hydrazine is _______.

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