Answer:
5.36 moles
Explanation:
From the given chemical equation, we see that one mole of nitrogen gas reacts with 3 moles of hydrogen gas in terms of mass.
Molar mass of hydrogen gas ; H2 = 2.016 g/mol
Molar mass of nitrogen gas; N2 = 28.01 g/mol
Thus;
28.01 grams of nitrogen gas requires 3 moles of hydrogen gas
Thus;
28.01 grams of nitrogen gas requires 3 moles of hydrogen gas
Therefore, 50 g of nitrogen gas will require; (50 × 3)/28.01 = 5.36 moles
Given the data from the question, the final temperature is 200 K, while pressure remains constant.
<h3>Basic concepts </h3>
To obtain the correct answer to the question, we shall consider two conditions:
- Case 1 (temperature is constant)
- Case 2 (pressure is constant)
<h3>Case 1 (Temperature is constant) </h3>
We shall determine the new pressure by using the combined gas equation (P₁V₁ / T₁ = P₂V₂ / T₂) as illustrated below:
- Initial volume (V₁) = 3 L
- Initial pressure (P₁) = 1 atm
- Temperature = constant
- New Volume (V₂) = 2 L
- New pressure (P₂) =?
P₁V₁ / T₁ = P₂V₂ / T₂
Since temperature is constant, we have:
P₁V₁ = P₂V₂
3 × 1 = P₂ × 2
3 = P₂ × 2
Divide both side by 2
P₂ = 3 / 2
P₂ = 1.5 atm
<h3>Case 2 ( pressure is constant) </h3>
We shall determine the new temperature by using the combined gas equation (P₁V₁ / T₁ = P₂V₂ / T₂) as illustrated below:
- Initial volume (V₁) = 3 L
- Initial pressure (T₁) = 300 K
- Pressure = constant
- New Volume (V₂) = 2 L
- New pressure (T₂) =?
P₁V₁ / T₁ = P₂V₂ / T₂
Since pressure is constant, we have:
V₁ / T₁ = V₂ / T₂
3 / 300 = 2 / T₂
1 / 100 = 2 / T₂
Cross multiply
T₂ = 100 × 2
T₂ = 200 K
SUMMARY
- when the temperature is constant, the new pressure is 1.5 atm
- When the pressure is constant, the new temperature is 200 K
From the calculations made above, we can conclude that the correct answer is:
The final temperature is 200 K, while pressure remains constant.
Learn more about gas laws:
brainly.com/question/6844441
Answer:
3/4
Explanation:
2Al2O3 → 4Al + 3O2
Molar ratio of oxygen to aluminum is 3/4.