The final pressure of the ideal gas is 23.47 atm.
We need to know about the ideal gas theory to solve this problem. The ideal gas is assumed that there is no interaction between particles in a gas. It can be determined by the equation
P . V = n . R . T
where P is pressure, V is volume, n is the number of moles gas, R is the ideal gas constant (8.31 J/mol.K) and T is temperature.
From the question above, we know that
V1 = 120 L
P1 = 18 atm
T1 = 310 K
V2 = 95 L
T2 = 320 K
When the initial and final gas is the same, we can use the ratio of the ideal gas as
(P2 . V2) / (P1 . V1) = T2 / T1
(P2 . 95) / (18 . 120) = 320 / 310
P2 = 23.47 atm
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