My calculator cannot display xx for xx > 230. One can calculate ex for larger values of x as follows. Define y such that x ≡ y ln 10. This means that e^x=e^y ln 10=(e^ln 10)^y=10^y=10^x/ln 10. Use these techniques to solve the following problem. The entropy of the most probable macropartition for a certain system of Einstein solids is 5790 kB , while the entropy of an extreme macropartition is only 4990 kB. What is the probability the system moves to the extreme macropartition instead of staying in the most probable? During the calculation, round powers of ten to the nearest integer.  For example, 10–23.6 would become 10–24. Enter the answer as a power of ten, with the correct sign, in the box.   The probability that the system will move to the extreme macropartition instead of staying in the most probable macropartition is 10^ _______.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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My calculator cannot display xx for xx > 230. One can calculate ex for larger values of x as follows. Define y such that x ≡ y ln 10. This means that e^x=e^y ln 10=(e^ln 10)^y=10^y=10^x/ln 10. Use these techniques to solve the following problem. The entropy of the most probable macropartition for a certain system of Einstein solids is 5790 kB , while the entropy of an extreme macropartition is only 4990 kB. What is the probability the system moves to the extreme macropartition instead of staying in the most probable? During the calculation, round powers of ten to the nearest integer.  For example, 10–23.6 would become 10–24. Enter the answer as a power of ten, with the correct sign, in the box.
 

The probability that the system will move to the extreme macropartition instead of staying in the most probable macropartition is 10^ _______.

 

 

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