IGNOU MPH 11 2026 - For the grand canonical ensemble, obtain an expression for the e

Question

For the grand canonical ensemble, obtain an expression for the ensemble average energy and ensemble average particle numbers.

19 Jan 2026

Answer :

Word Count : 234

In the grand canonical ensemble, a system is in contact with a reservoir that can exchange both energy and particles. The grand canonical partition function is defined as [ \mathcal{Z} = \sum_{N=0}^{\infty} \sum_{{i}} e^{-\beta (E_i - \mu N)}, ] where (E_i) is the energy of the microstate (i) with (N) particles, (\mu) is the chemical potential, (\beta = \frac{1}{k_B T}), and the summation is over all

__________ ______ __________ ___ ______ _______.
_______ ______ _______ ________ ____ __________ _________ _________ ______ ____ ___.
__________ _____ _______ ______ _________ ____.
___ _____ ________ ___ ______ __________ ___ ______ _________ ____ _______ _________.
________ ______ ________ ______ _____ ________ _________ ____ ____.
____ ____ _______ _________ ______ ___ _____ _______ ____ _____ ________.
________ __________ _________ ____ _________ _________ ________.
___ ______ ______ ____ ____ ________.
_______ ______ _________ _______ _____ ____ ______ ___.
__________ __________ _________ ___ ___ _____ ___ ____ ____.
_________ ____ ______ _____ _____ _________.
____ ______ ______ ______ ________ ___ ______ ________ ___.
_______ _____ ______ _____ ______ _______ ____ ________.
__________ ___ ___ ___ _____ ____ ________ _____.
________ ______ __________ __________ ____ _____ _______ _______ ____ ______ ____ __________.
___ _________ ____ _____ ________ _____ _______.
_________ _____ _________ ___ _________ __________ ________ __________ _____ __________ ________.
____ _________ _________ __________ ____ __________ ________ ______ _________.
________ ________ ___ _____ __________ __________ ___.
__________ __________ ____ _____ __________ __________.

IGNOU ACADEMY

Your IGNOU journey, made easier.

Solved Assignments
Study Notes
Guess Papers
Question Papers

Call Us WhatsApp

STUDY • PREPARE • SUCCEED

Skip in 10

IGNOU Solved Assignments Assignments Ignou Projects Project Previous Year Solved Exam Papers Notes Notes Sample Question Papers Sample Question Papers