Final answer:
To find the number of moles of hydrogen gas needed to react with 10.00 g of nitrogen gas, first, convert the nitrogen mass to moles (0.357 moles of N2). Then, use the mole ratio from the balanced chemical equation, resulting in 1.071 moles of H2.
Step-by-step explanation:
To find the number of moles of hydrogen gas that would react with 10.00 g of nitrogen gas, we first need to look at the balanced chemical equation for the reaction between nitrogen and hydrogen to form ammonia:
N2 + 3 H2 → 2 NH3
This equation shows that one mole of nitrogen gas (N2) reacts with three moles of hydrogen gas (H2) to produce two moles of ammonia (NH3). To solve the problem, we must perform two steps:
- Convert the mass of nitrogen gas to moles.
- Use the mole ratio from the balanced equation to find the moles of hydrogen gas that would react.
The molar mass of nitrogen gas (N2) is 28.02 g/mol. Using this information, we convert the mass of nitrogen to moles:
10.00 g N2 × (1 mol N2 / 28.02 g N2) = 0.357 moles of N2
Now, applying the mole ratio from the balanced equation:
0.357 moles N2 × (3 moles H2 / 1 mol N2) = 1.071 moles of H2
Therefore, 1.071 moles of hydrogen gas are required to react with 10.00 g of nitrogen gas.