Respuesta :
Answer:
The final pressure in the container at 0°C is 2.49 atm
Explanation:
We apply the Ideal Gases law to know the global pressure.
We need to know, the moles of each:
P He . V He = moles of He . R . 273K
(1atm . 4L) / R . 273K = moles of He → 0.178 moles
P N₂ . V N₂ = moles of N₂ . R . 273K
(1atm . 6L) / R . 273K = moles of N₂ → 0.268 moles
P Ar . V Ar = moles of Ar . R . 273K
(1atm . 10L) / R . 273K = moles of Ar → 0.446 moles
Total moles: 0.892 moles
P . 8L = 0.892 mol . R . 273K
P = ( 0.892 . R . 273K) / 8L = 2.49 atm
R = 0.082 L.atm/mol.K
The final pressure in the evacuation container at 0 °C is 2.499 atm
To solve this question, we'll begin by calculating the number of mole of each gas. This can be obtained as follow:
For He:
Volume (V) = 4 L
Pressure (P) = 1 atm
Gas constant (R) = 0.0821 atm.L/Kmol
Temperature (T) = 0 °C = 273 K
Number of mole (n) =?
PV = nRT
1 × 4 = n × 0.0821 × 273
4 = n × 22.4133
Divide both side by 22.4133
n = 4 / 22.4133
n = 0.178 mole
For N₂:
Volume (V) = 6 L
Pressure (P) = 1 atm
Gas constant (R) = 0.0821 atm.L/Kmol
Temperature (T) = 0 °C = 273 K
Number of mole (n) =?
PV = nRT
1 × 6 = n × 0.0821 × 273
6 = n × 22.4133
Divide both side by 22.4133
n = 6 / 22.4133
n = 0.268 mole
For Ar:
Volume (V) = 10 L
Pressure (P) = 1 atm
Gas constant (R) = 0.0821 atm.L/Kmol
Temperature (T) = 0 °C = 273 K
Number of mole (n) =?
PV = nRT
1 × 10 = n × 0.0821 × 273
10 = n × 22.4133
Divide both side by 22.4133
n = 10 / 22.4133
n = 0.446 mole
Next, we shall determine the total moles of the gas in the container.
Mole of He = 0.178 mole
Mole of N₂ = 0.268 mole
Mole of Ar = 0.446 mole
Total mole =?
Total mole = 0.178 + 0.268 + 0.446
Total mole = 0.892 mole
Finally, we shall determine the pressure in evacuation container. This can be obtained as follow:
Volume (V) = 8 L
Gas constant (R) = 0.0821 atm.L/Kmol
Temperature (T) = 0 °C = 273 K
Number of mole (n) = 0.892 mole
Pressure (P) =?
PV = nRT
P × 8 = 0.892 × 0.0821 × 273
P × 8 = 19.993
Divide both side by 8
P = 19.993 / 8
P = 2.499 atm
Therefore, the final pressure in the evacuation container at 0 °C is 2.499 atm
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