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:
The mass of nitrogen gas will be 31,3 g
Explanation:
We calculate the weight of 1 mol of N2 (nytrogen gas):
Weight 1 mol N2= 2 (weight N)= 2 x 14 g/mol = 28g/mol
The conditions STP are 1 atm of pressure and 273K of temperature. We use the formula:
PV=nRT
1 atmx 25,0L= n x0,082 l atm/K mol x 272 K
n= 1 atmx 25,0L/0,082 l atm/K mol x 272 K= 1, 12 mol
1 mol N2-----28 g
1,12mol N2---x= (1,12mol N2 x28g)/1 mol N2= 31, 3 g
Answer: Blue
Explanation: Blue light has a smaller wavelength, therefore the increase in frequency.
<span>2CH</span>₃<span>OH + 3O</span>₂<span> → 2CO</span>₂ + <span> 4H</span>₂O
mole ratio of CO₂ : H₂O is 2 : 4 (simplified as 1 : 2)
∴ if moles of CO₂ = 3.25 moles
then moles of H₂O = 3.25 moles × 2
= 6.50 moles