Q1 - The passage is primarily concerned
Let's see the passage structure first
1. The passage introduces a puzzling or strange phenomenon. What phenomenon? With the increasing use of fossil fuels, the amount of CO2 should have increased and not the other way around. So where is this excess CO2 going?
2. That's where the author introduces Allen Auclair's claim.
3. In the 2nd passage, the author introduces the minimum condition "must be compared with the wood lost" for the claim or theory to be true and then provides the supporting evidence.
4. Finally, the author concludes that "turning the northern forests from a carbon source into a carbon sink and storing CO2 from fossil fuel over the next fifty years." In a way supporting "Allen Auclair's claim."
A. refuting a claim about the causes of a phenomenon - opposite. The author is supporting a claim and not refuting it.
B. presenting an analysis of a common natural process - it's not "common." Opposite.
C. providing an explanation for a puzzling phenomenon - Yes. The puzzling phenomenon is "With the increasing use of fossil fuels, the amount of CO2 should have increased and not the other way around," and what is the explanation? "Allen Auclair's claim or theory."
D. evaluating the methodology used in a recent study - "evaluate" means discussing the strengths and weaknesses and then coming to a conclusion. There is no critique here. Above all the passage doesn't talk about any "methodology." The passage only shares an explanation of the puzzling phenomena and doesn't talk about the methods he measured, whether these methods were good or bad, or whether some other methods could be better.
E. contrasting two explanations of an unexpected phenomenon - there is only one explanation.