Answer:
![m_(NH_3)=0.0213gNH_3](https://img.qammunity.org/2022/formulas/chemistry/college/offspgu457tr4vl5kfq7oxwoxcodfqhyi2.png)
Step-by-step explanation:
Hello there!
In this case, since it is known that the reaction between ammonia and acetic acid is:
![CH_3COOH+NH_3\rightarrow CH_3COONH_4](https://img.qammunity.org/2022/formulas/chemistry/college/ccmo0z08a2jtzdemaxpw8drh33qh1cjkwb.png)
It is possible for us to realize that the mole ratio of acetic acid (vinegar) to ammonia is 1:1, that is why we can relate the concentrations as follows:
![M_(acid)V_(acid)=M_(base)V_(base)\\\\](https://img.qammunity.org/2022/formulas/chemistry/college/ko38r5cyjqio4lyiof4flb85xc0ojsctpt.png)
In such a way, by knowing that the volume of these two are the same, we infer that their concentrations is also de same; and therefore, the mass of ammonia is calculated as:
![m_(NH_3)=0.005L*0.25(molNH_3)/(L)*(17.04gNH_3)/(1molNH_3)\\\\m_(NH_3)=0.0213gNH_3](https://img.qammunity.org/2022/formulas/chemistry/college/d98xfkzzxo1y0d56uwdgjn4jwywoy3he4b.png)
Regards!