Final answer:
To obtain chlorine gas from 2.50 mol of NaCl through electrolysis, we use the stoichiometry of the reaction, which gives us 1.25 moles of Cl2. The molar mass of Cl2 (70.90 g/mol) is then multiplied by the moles of chlorine, resulting in 88.625 grams of chlorine gas produced.
Step-by-step explanation:
The decomposition of sodium chloride (NaCl) into sodium and chlorine by means of electrical energy is an example of electrolysis. To determine the grams of chlorine gas that can be obtained from 2.50 mol NaCl, we need to reference the balanced chemical equation:
2 Na(s) + Cl2(g) → 2 NaCl(s)
This equation indicates that two moles of sodium react with one mole of chlorine gas to produce two moles of sodium chloride. Therefore, for every two moles of NaCl, one mole of Cl2 is produced. Since we are starting with 2.50 moles of NaCl, this would correlate to 1.25 moles of Cl2. The molar mass of chlorine gas (Cl2) is 70.90 grams per mole, derived from the atomic mass of chlorine (35.45 grams per mole) multiplied by two since there are two atoms of chlorine in each molecule of chlorine gas (Cl2).
Calculation:
1.25 moles Cl2 x 70.90 g/mol = 88.625 grams of Cl2
Hence, from 2.50 mol of NaCl, 88.625 grams of chlorine gas can be obtained.