Answer:
2.96 L
Step-by-step explanation:
We apply the Ideal Gases Law to determine this:
P . V = n . R . T
Firstly we need to know the pressure for the 2.25 moles
P . 1.80L = 2.25 mol . 0.082 L.atm/mol.K . 298K
(We convert T°C to T°K, 25°C + 273 = 298K)
P = (2.25 mol . 0.082 L.atm/mol.K . 298K) / 1.80L
P = 30.5 atm
So now, we apply the pressure value for the new conditions:
30.5 atm . V = 3.7 mol . 0.082 . 298K
V = (3.7 mol . 0.082 . 298K) / 30.5atm = 2.96 L