Answer to Question #182459 in Physics for Ustad

Question

Consider an ideal gas of N molecules which is in equilibrium within a container of volume Vo- Denote by n the number of molecules located within any volume V of this container. The probability p that a given molecule is located within this volume V is then given by p->V/Vo (a) What is the mean number answer in terms of N, VO, and V. n of molecules located within V? Express your (b) Find the standard deviation An in the number of molecules located within the volume V. Hence calculate An/n, expressing your answer in terms of N, Vo, and V. (c) W hat does the answer to part (b) become when V<< Vo? (d) W hat value should the standard deviation An assume when V-> Vo? Does the answer to part (b) agree with this expectation?

Answer 1

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