1. Balanced Chemical Equation:

The balanced chemical equation for the reaction of nitrogen gas (N₂) with hydrogen gas (H₂) to produce ammonia (NH₃) is:

N₂ + 3H₂ → 2NH₃

2. Mole Ratio:

From the balanced equation, we see that 1 mole of N₂ produces 2 moles of NH₃.

3. Calculation:

* We have 2.90 mol of N₂.

* Using the mole ratio, we can find the moles of NH₃ produced: 2.90 mol N₂ * (2 mol NH₃ / 1 mol N₂) = 5.80 mol NH₃

4. Convert Moles to Grams:

* The molar mass of NH₃ is 17.03 g/mol (14.01 g/mol for N + 3 * 1.01 g/mol for H)

* Multiply the moles of NH₃ by its molar mass to get the mass in grams: 5.80 mol NH₃ * 17.03 g/mol = 98.7 g NH₃

Therefore, 98.7 grams of NH₃ can be produced from 2.90 mol of N₂.