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This is a synthesis reaction, also called a combination reaction, because two or more reactants produce a single product. You essentially have been given a word equation, which does not give the chemical formulas of each substance. In order to write a chemical equation, you need to determine the chemical formulas of each substance. Then write the equation and balance it.

Reactants
Gaseous nitrogen dioxide: $"NO"_2("g")$
Gaseous oxygen: $"O"_2("g")$
Liquid water: $"H"_2"O"(l)"$

Product
Aqueous nitric acid: $"HNO"_3("aq")$

Balanced Equation

$"4NO"_2("g")+"O"_2("g")+"2H"_2"O("l")$$rarr$$"4HNO"_3("aq")$

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