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If the system under consideration is in contact with both a heat reservoir and a particle reservoir, then the ensemble is :

  • A.Canonical
  • B.Microcanonical
  • C.Grandcanonical
  • D.Isobaric-isothermal

Answer: C

The ensemble is Grandcanonical.

Exchange of energy with a heat reservoir fixes the temperature, and exchange of particles with a particle reservoir fixes the chemical potential. A system with variable energy and particle number at fixed T, V and \(\mu\) is described by the grand canonical ensemble.

The canonical ensemble has a fixed particle number (heat reservoir only); the microcanonical ensemble is isolated, with fixed energy and particle number; the isobaric-isothermal ensemble fixes pressure instead of volume, not chemical potential.

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