The final pressure in a process where the volume reduces by half, starting from Pi = 1 atm, is 2. To find this result:
Write Boyle's law for the final pressure: Pf = (Vi · Pi)/Vf.
In this formula, identify the ratio of the volumes. Since we know that the volume reduces by half, we can write Vi = 2 · Vf, hence Vi/Vf = 2.
The final pressure is, then: Pf = 2 · Pi = 2 atm.
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