Calculating Ammonia Production and Question Type Analysis
This question involves two parts: first, a calculation based on a chemical reaction, and second, classifying the type of question itself.
Chemical Calculation: Ammonia Synthesis
We are given the balanced chemical reaction for the synthesis of ammonia:
$$N_2 + 3H_2 \rightarrow 2NH_3$$
This equation tells us that 1 mole of nitrogen ($N_2$) reacts with 3 moles of hydrogen ($H_2$) to produce 2 moles of ammonia ($NH_3$).
Step 1: Determine moles of ammonia produced
We are given 0.5 mole of nitrogen ($N_2$). Using the mole ratio from the balanced equation (1 mole $N_2$ : 2 moles $NH_3$), we can calculate the moles of ammonia ($NH_3$) that will be produced:
- Mole ratio of $N_2$ to $NH_3$ is $1:2$.
- Moles of $NH_3$ = Moles of $N_2 \times \frac{2 \text{ mol } NH_3}{1 \text{ mol } N_2}$
- Moles of $NH_3$ = $0.5 \text{ mol } N_2 \times \frac{2 \text{ mol } NH_3}{1 \text{ mol } N_2} = 1.0 \text{ mol } NH_3$
Step 2: Calculate the molar mass of ammonia ($NH_3$)
To convert moles of ammonia to grams, we need its molar mass. The atomic masses are approximately: Nitrogen (N) = 14.01 g/mol, Hydrogen (H) = 1.01 g/mol.
- Molar mass of $NH_3$ = (Atomic mass of N) + 3 $\times$ (Atomic mass of H)
- Molar mass of $NH_3$ = $14.01 \text{ g/mol} + (3 \times 1.01 \text{ g/mol})$
- Molar mass of $NH_3$ = $14.01 \text{ g/mol} + 3.03 \text{ g/mol} = 17.04 \text{ g/mol}$
Step 3: Calculate the mass of ammonia produced
Now, we multiply the moles of ammonia by its molar mass:
- Mass of $NH_3$ = Moles of $NH_3 \times$ Molar mass of $NH_3$
- Mass of $NH_3$ = $1.0 \text{ mol} \times 17.04 \text{ g/mol}$
- Mass of $NH_3$ = $17.04$ grams
So, 17.04 grams of ammonia will be produced.
Classifying the Question Type
Let's analyze the options provided:
- Knowledge based: These questions test recall of facts or definitions (e.g., "What is the symbol for Nitrogen?").
- Understanding based: These questions assess comprehension of concepts (e.g., "Explain the concept of stoichiometry.").
- Application based: These questions require using learned knowledge and concepts to solve a specific problem or scenario, often involving calculations (e.g., calculating product yield).
- Skill based: These questions evaluate the ability to perform a specific task or procedure (e.g., "Balance the chemical equation.").
The question asks us to perform a calculation (how many grams of ammonia) using the principles of stoichiometry based on a given chemical reaction and amount of reactant. This process involves applying learned chemical concepts (mole ratios, molar mass, balanced equations) to a new, specific situation. Therefore, this question falls under the category of **Application based** questions.