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Here is the balanced equation

$N_2+3H_2= 2NH_3$

At STP, 1 mole has a volume of 22.4 Liters. To do a dimensional analysis conversion from Liters to moles:

$(N" Liters")/1(1" mole")/(22.4" Liters") = N/22.4" moles"$

Please observe that Liters and moles vary directly, therefore, we can simply multiply each of the coefficients (that represent moles) by $1.2" L"$ to obtain the volumes:

$(1.2" L")N_2+(3.6" L")H_2= (2.4" L")NH_3$

It does not really matter what number of moles that we have as long as we maintain the $1:3:2$ relationship.

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