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What is the formula for dinitrogen tetroxide $ ? $

Answer
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Hint :First we write about the properties of nitrogen and oxygen molecules. Then how to get the molecule dinitrogen molecule. Then write the chemical formula for dinitrogen tetroxide.

Complete Step By Step Answer:
All nitrogen and oxygen which are commercially available are produced form of the air. Both are colourless, odourless and tasteless gases.
 Dinitrogen tetroxide forms an equilibrium mixture with nitrogen dioxide. It is diamagnetic since it has no unpaired electrons. Its molar mass is $ 92.011\;g/mol $ . Since, its appearance is colourless liquid, orange gas.
The chemical formula for dinitrogen tetroxide is $ {N_2}{O_4} $ .
Dinitrogen tetroxide is made by the catalytic oxidation of ammonia. Steam is used to reduce the combustion temperature. In this step, the ammonia is oxidized into nitric oxide:
 $ 4N{H_3} + 5{O_2} \to 4NO + 6{H_2}O $
Remove most of the water condensed and the gases are further cooled; the nitric oxide that was produced is oxidized to nitrogen dioxide, which is then combined with a similar molecule to form a dinitrogen tetroxide (dimer).
 $ 2NO + {O_2} \to 2N{O_2} $
 $ 2N{O_2} \to {N_2}{O_4} $ .
Dinitrogen tetroxide can also be obtained through the reaction of concentrated nitric and metallic copper.

Note :
Note that dinitrogen tetroxide is also known as nitrogen tetroxide. Dinitrogen tetroxide is a powerful oxidizer that spontaneously reacts upon contact with various forms of hydrazine, which has made the pair common bi-propellant for rockets.