Answer:
51.8 L is the new volume
Explanation:
In the two situations we have this relationship:
P ₁ . V₁ / T₁ = P₂ . V₂ / T₂
Let's convert the temperature to absolute values
T°K = T°C + 273
22.9°C + 273 = 295.9 K
44.5°C + 273 = 317.5 K
Let's convert now, the Torr to atm.
778 Torr . 1 atm / 760 Torr = 1.02 atm
Now we can replace:
3.4 atm . 14.5L / 295.9K = 1.02 atm . V₂ / 317K
(3.4 atm . 14.5L / 295.9K) . 317 K = 1.02 atm . V₂
( (3.4 atm . 14.5L / 295.9K) . 317 K ) / 1.02 atm = V₂ → 51.8 L
P ₁ . V₁ / T₁ = P₂ . V₂ / T₂ is derived from the Ideal Gases Law equation, and it is fulfilled when the moles of a gas, remains constant after the change of T°, pressure and volume.
