Discussion
In a canonical ensemble, a system X of fixed volume is in contact with a large reservoir Y, then :
Answer: A
In a canonical ensemble X can exchange only energy with Y.
The canonical ensemble describes a system with fixed number of particles N, fixed volume V and fixed temperature T. The temperature is held constant by contact with a large heat reservoir, and the system and reservoir exchange energy as heat, so the system's energy fluctuates. The walls are closed to matter, so the number of particles cannot change.
Exchange of neither energy nor particles defines the microcanonical ensemble (fixed N, V, E), an isolated system. Exchange of both energy and particles defines the grand canonical ensemble (fixed μ, V, T). An ensemble exchanging particles but not energy is not one of the standard three.
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