Answer:
200 moles of nitric acid are produced from 300.00 mol of nitrogen dioxide.
Step-by-step explanation:
You know that the balanced reaction is:
3 NO₂ + H₂O ⇒ 2 HNO₃ + NO
The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. That is, what is intended with it is to find the fourth term of a proportion knowing the other three. Remember that proportionality is a constant relationship or ratio between different magnitudes.
If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other) , the direct rule of three must be applied. To solve a direct rule of three, the following formula must be followed:
a ⇒ b
c ⇒ x
So:
In this case, the rule of three can be applied in the following way: if 3 moles of NO₂ produce 2 moles of HNO₃ by stoichiometry of the reaction, 300 moles of NO₂ how many moles of HNO₃ do they produce?
moles of HNO₃= 200
200 moles of nitric acid are produced from 300.00 mol of nitrogen dioxide.