By chance, we received some monolayer graphene sheets (20 cm x 20 cm) and mixed coper-graphene wires for free at our university. I would like to prepare some very-easy-to-do experiments for the chemistry students that show the awesome properties of graphene, and which could be carried out with very simple lab equipment or even home experiments. What are some good experiments we could do?
You may want to post this in the Physics forum, as many of the outstanding properties of graphene are expected to be physical. See this Periodic Video: Graphene
Given this, two things to try. First, graphene should conduct electricity, like graphite but not like carbon. Second, graphene may dissolve in nonpolar solvents like carbon tetrachloride, similar to buckyballs, to produce colorful solutions. See this Periodic Video: BuckyBall
Both these experiments should be checked in advance: I'm extrapolating from other experiments, but have not done these myself.