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Lemur [1.5K]
3 years ago
15

a ridged 2.40L sealed vessel contains He and C3H6 gases. The partial pressure of He is 1.4 atm and that of C3H6 is 1.7 atm, at 5

5 degress celcius. If the vessel is cooled to -45 degress celcius, what is the partial pressure of each gas
Chemistry
1 answer:
balandron [24]3 years ago
3 0

Answer:

Partial pressure He → 0.96 atm

Partial pressure C₃H₆  → 1.18 atm

Explanation:

We apply the Charles Gay Lussac law, to solve this. Pressure varies directly proportional to absolute T°, when the volume keeps on constant.

P₁ / T₁ = P₂ / T₂

We convert the T° to absolute T°

55°C + 273 = 328K

-45°C + 273 = 228K

Total pressure = Sum of partial pressures

1.7 atm + 1.4 atm = 3.1 atm

When we apply the formula we would know the new total pressure

3.1 atm / 328K = P₂ / 228K

(3.1 atm / 328K) . 228K = 2.15 atm

As the moles has not been modified with the change of T°, we assume the mole fraction is still the same.

Mole fraction He = Partial pressure He / Total pressure

1.4 atm / 3.1 atm = 0.45

Mole fraction C₃H₆ = Partial pressure C₃H₆/ Total pressure

1.7 atm / 3.1 atm = 0.55

0.45 = Partial pressure He / 2.15 atm

Partial pressure = 0.45 . 2.15 atm → 0.96 atm

0.55 = Partial pressure C₃H₆ / 2.15 atm

Partial pressure = 0.55 . 2.15 atm → 1.18 atm

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