Answer:
d) none of the above
Explanation:
The law that describes the relationship between pressure and volume of an ideal gas (under constant temperature and amount of substance) is Boyle's law.
It states that pressure is inversely proportional to the volume. This would mean that a graph of P vs 1/V would be a line.
See the attached picture for a graph of P vs V.
Answer: 1.61 x 10⁴ kPa
Dalton's law <u>states that the sum of the partial pressures of each gas equals the total pressure of the gas mixture.</u> According to this law,
Pi = xi P
where Pi is the partial pressure of the gas i, xi is the mole fraction of the gas i in the gas mixture and P is the total pressure.
The mole fraction <u>is defined as the quotient between the moles of solute (ni) and the total moles of the mixture (nt)</u>, which is calculated by adding the moles of all its components:
xi =
In the Trimix 10/50 mix you have 10% oxygen, 50% helium and 40% nitrogen.
To calculate the total number of moles of the mixture and thus determine the molar fraction of helium, we consider 100 g and calculate the number of moles that represent 10 g of O₂ (n₁), 50 g of He (n₂) and 40 g of N₂ (n₃):
n₁ = 10 g x = 0.313 mol
n₂ = 50 g x = 6.246 mol
n₃ = 40 g x = 1.428 mol
Then the total number of moles (nt) will be:
nt = n₁ + n₂ + n₃ = 0.313 mol + 6.246 mol +1.428 mol
nt = 7,987 mol
Then, the mole fraction of helium (x₂) in the mixture will be,
x₂ = = 0.78
and the partial pressure of helium in the mixture, according to Dalton's law, will be:
P₂ = x₂ P = 0.78 x 2.07 x 10⁴ kPa
P₂= 1.61 x 10⁴ kPa
So, <u>the partial pressure of helium if a tank of trimix 10/50 has a total pressure of 2.07 x 104 kPa is 1.61 x 10⁴ kPa</u>
Answer:
The gas will occupy a volume of 1.702 liters.
Explanation:
Let suppose that the gas behaves ideally. The equation of state for ideal gas is:
(1)
Where:
- Pressure, measured in kilopascals.
- Volume, measured in liters.
- Molar quantity, measured in moles.
- Temperature, measured in Kelvin.
- Ideal gas constant, measured in kilopascal-liters per mole-Kelvin.
We can simplify the equation by constructing the following relationship:
(2)
Where:
,
- Initial and final pressure, measured in kilopascals.
,
- Initial and final volume, measured in liters.
,
- Initial and final temperature, measured in Kelvin.
If we know that ,
,
,
and
, the final volume of the gas is:
The gas will occupy a volume of 1.702 liters.