Answer :

By the isotherm process, the gas will dissolve in 4.5 atm.

It is important to know about isotherm conditions to solve this problem. The isotherm process is a cycle that has the same temperature but different pressure and volume. The process should follow the rule

P1 . V1 =P2 . V2

where P1 is initial pressure, V1 is initial volume, P2 is final pressure and V2 is the final volume.

From the question above, the parameter given are:

P1 = 2 atm

V1 = 1 L

P2 = 4.5 atm

By substituting the parameters to the rule, we get

P1 . V1 =P2 . V2

2 . 1 = 4.5 . V2

V2 = 2 / 4.5

V2 = 0.44 L

Hence, the gas will dissolve in 4.5 atm.

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