J.R. S. answered 09/04/21
Ph.D. University Professor with 10+ years Tutoring Experience
The -1/2 ∆N2O5/∆t tells us that N2O5 is a reactant since it is disappearing (hence the minus sign). It also tells us that the coefficient is 2 (hence the 1/2). So, we know the reactant is 2N2O5.
The +1/4 ∆NO2/∆t tells us the NO2 is a product because it is appearing (hence the plus sign). It also tells us that the coefficient is 4 (hence the 1/4). So, we know the product is 4NO2.
The +∆O2/∆t tells us the O2 is a product because it is appearing (hence the positive value). It also tells us the the coefficient is 1, so we know the product is O2.
With this information, we can write the balanced equation as...
2N2O5 ==> 4NO2+ O2