# How do you balance #NO_2 + H_2O → HNO_3 + NO#?

##### 1 Answer

Nov 25, 2017

#### Explanation:

Given:

#NO_2 + H_2O -> HNO_3 + NO#

We are looking for something like:

#aNO_2 + bH_2O -> cHNO_3 + d NO#

for some integers

Equating the amounts of

#{ (a = c + d), (2a+b = 3c+d), (2b = c) :}#

Subtracting the first equation from the second to eliminate

#a+b = 2c#

Then subtracting twice the third equation, we find:

#a-3b = 0#

So let's put

#3NO_2+H_2O -> 2HNO_3+NO#