Contamination of water resources with nitrate has become a very broad and important problem in many regions of the world including Iran (
1-
3). It has become more important, possibly due to its high water solubility (
4). The use of fertilizers in agriculture, chemical products, septic tank systems, animal manure, and agricultural and urban runoff as well as atmospheric deposition from nitrogen oxide emission are the most important ways of water resources contamination with high levels of nitrate (
5,
6). Nitrate can be changed to nitrite that is relatively more toxic than nitrate (
7-
9). Nitrate is threatening to human health and environment; some serious complications of nitrate include induction of blue-baby syndrome especially in infants (methemoglobinemia), promoting eutrophication, and the potential formation of carcinogenic nitrosamine (
10-
12). European Union Legislation and United States Environmental Protection Agency have announced that the nitrate level in drinking water is 50 and 10 mg NO
3− -N/L, respectively (
13,
14). Several methods are available for nitrate removal including ion exchange, reverse osmosis, biological denitrification, and chemical reduction (
6,
8,
15-
17). Ion exchange and reverse osmosis are the most common methods of nitrate reduction. Unfortunately, both of these methods are not affordable due to the generation of secondary waste and requiring frequent regeneration of the media. Challenges in biological methods produce excessive biomass sludge that requires further treatment. Moreover, the microbial processes require special and permanent maintenance (
8,
18). Another technique for nitrate removal is the use of nano-scaled zero-valent irons (nZVI) (
8). In recent years, nZVI has attracted the attention of many scientists (
19). Due to high reduction capacity, high efficiency, abundance, cheapness, and its unique atomic, molecular, and chemical properties, nZVI has been used in the treatment of nitrate contaminated water (
20,
21). Despite numerous benefits of this technology, there are limitations in the use of nZVI such as pH control, ammonium production, and particle aggregation (
20,
22). Adding nZVI to the water containing nitrate and nitrite induces the production of Fe
2 + and ammonia (NH
4 +) or N
2 gas (reactions 1 and 2) (
23).
Accordingly, nZVI dose, initial concentration, contact time, and ionic strength were evaluated using a statistical model. There are several limitations for classical experimental methods. In the classical method, only one variable can be examined at the time that can lead to more spent time and laborious work. Moreover, the combined effect of several different variables on experiment cannot be determined (
24,
25). Since, there is not a linear association between the variables and removal rate in many cases, classical methods are not suitable (
26). Response surface methodology (RSM) does not have the limitations of classical methods (
27). RSM has many advantages such as ability to design experiments with multiple variables at different levels and requiring a minimum number of experiments (
24,
25). In this study, Box-Behnken design (BBD) was used for statistical processes including design of experiments and data analysis. The BBD technique is a second-order and spheroid designs (
27,
28). There are several techniques to design RSM and three-level full factorial designs (
29). The Doehlert design is the two-level full factorial design that does not have any classical characteristics of RSM. The Doehlert matrix is similar to BBD but requires fewer experiments (
30,
31). Therefore, the BBD technique is a suitable and effective method (
29).