Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
246 views
in Physics by (237k points)
closed by
Canonical ensembles are defines as the collection of a large number of essentially independent systems having the same _____________
1. temperature T, volume V and the same number of identical particles N.
2. energy E, volume, V, and the number of particles N.
3. temperature T, volume V, and chemical potential μ. 
4. energy E, temperature T, volume V, and chemical potential μ. 

1 Answer

0 votes
by (239k points)
selected by
 
Best answer
Correct Answer - Option 1 : temperature T, volume V and the same number of identical particles N.

CONCEPT:

Ensembles:

  • A system is defined as a collection of a number of particles.
  • An ensemble is defined as a collection of a large number of microscopically identical but essentially independent systems.
  • By the term macroscopically identical we mean that each of the systems constituting an ensemble satisfies the same macroscopic conditions e.g., volume, energy, pressure, the total number of particles, etc.
  • By the term independent systems, we mean that the systems constituting an ensemble are mutually non-interacting.
  • They are three types of Ensembles: Microcanonical, canonical, and grand canonical ensembles.

EXPLANATION:

Microcanonical ensembles

Canonical ensembles

Grand canonical ensembles

It is the collection of a large number of essentially independent systems having the same energy E, volume, V, and the number of particles N.

It is the collection of a large number of essentially independent systems having the same temperature T, volume V and the same number of identical particles N.

It is the collection of a large number of essentially independent systems having the same temperature T, volume V, and chemical potential μ.

The individual systems of a microcanonical ensemble are separated by rigid, impermeable, and well-insulated walls such that the values of E, V, and N for a particular system are not affected by the presence of other systems.

The individual systems of a canonical ensemble are separated by rigid, impermeable but conducting walls.

 

As the separating walls are conducting, heat can be exchanged between the result all the systems will arrive at the common temperature T.

The individual systems of a grand canonical ensemble are separated by rigid, permeable, and conducting walls.

 

As the separating walls are conducting and permeable, the exchange of heat energy, as well as that of particles between the systems, takes place in such a way that all the systems arrive at common temperature T and chemical potential μ.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...