{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

CHEM 120B - Spring 2010 - Geissler - Midterm 1 (solution)

CHEM 120B - Spring 2010 - Geissler - Midterm 1 (solution) -...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
KEY YOUR NAME HERE L!:ftjons ana Usefut Formdas: Inverse temPerature: Fbbruary 24,2010 1 k"T ' kB: P(u): 1.38 x g-98" t0-23 J /K Boltzmann distribution: a -BE" ,g: ks lnw, s : [email protected](u), Equilibrium averages: (E) : - (ffi," , (58\: (W),u,', :ksr2cv ! Equipartition PrinciPle: t (q : |keT per classical degree of freedom with quadratic energy. Entropy: , d dqr.u oo -T= First law of thermodYnamics: dE :dw *dq Partition function for noninteracting, indistinguishable molecules: Partition Factorials: a:# Chem 1208 Midterm #1 -lf! :,n/ x (l/ - 1) x (lr- 2) x . .. 1,
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
l- euestions on this exam concern dilute solutes in a vesicle (which might be regarded as a crude model of a living cell), as sketched beiow' For purposes of counting, imagine dividing the vesicle into a lattice of M cells. A microstate is specified by detailing the presence or absence of solutes in every cell. The vesiele'-s ,envirr"',nment Serves as a heat bath at temneratttre 7 Q:rantrrrn mechanical effects can be ignored throughout. Neglect as weil contributions from solvent, particle velocities, and interactions among solute molecules unless explicitly stated otherwise. Many molecules in biological cells are synthesized in very small numbers- In this qrr"riiol we consider an extreme case: chemical species that are either completely absent or present as single molecules. Specifically, our vesicle contains one pa,rticle of type A and one particle of tYPe B' (i) Caiculate the partition function Qunbound for the collection of microstates in which A and B move independently within the vesicle, as depicted below. Take the energy of such "unbound" configurations to be zero. Your answer may involve some (but not necessarily all) of the following quantities: ?, M, and fundamentai constants. ''Mt \ 1. 8 pts 0,*ntoonl
Background image of page 2
8 pts (ii) Calculate the partition function
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Page1 / 9

CHEM 120B - Spring 2010 - Geissler - Midterm 1 (solution) -...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon bookmark
Ask a homework question - tutors are online