The combined gas law is:

P1V1/T1 = P2V2/T2

Where P1 & P2 are the initial and final pressures; V1 & V2 are the initial and final volumes; and T1 and T2 are the initial and final temperatures in degrees K.

In this problem it is assumed that the pressure remains constant so P1 = P2

Substitute in what you know:

P1V1/300 = P1V2/200

divide by P1 and you get:

V1/300 = V2/200

rearrange and solve for V2:

V2 = 2/3 V1

In other words, the final volume will be 2/3 the initial volume.

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