By ideal gas approximation, the final volume is 6.84 liters.
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 = 5 L
P1 = 1040 torr = 1040 / 760 atm
P2 = 1 atm
When the initial and final temperature is the same, we can use the ratio of pressure and volume as
P1 . V1 = P2 . V2
(1040 / 760) . 5 = 1 . V2
V2 = 6.84 liters
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