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Yes. K does not change when the pressure changes, and since K is temperature dependent you know that the temperature is also constant. Therefore, the volume/concentration has to be the changing factor.
I think Dr. Lavelle said in class that pressure can also be changed by pumping an inert gas, so that wouldn't change the concentration compared to changing the volume, but K would still stay the same either way.
Temperature can be assumed to stay constant in a changing pressure but the question should state specifically whether or not the volume has changed or the pressure has changed from an inert gas because that affects the Q value when comparing to K.
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