Suppose you have two identical objects A and B in thermal contact with one another. Model each as having $25$bins$$ for thermal energy. At the start, A has $7$packets$$ of thermal energy and B has three $$packets$.$ a$)$ Initially, how many microstates are there for A$?$ For B$?$ b$)$ If two $$packets$$ of thermal energy move from A to B$,$ find: $$SA$,$SB$,$ and $$Stotal for the process. In each case, express your answer as a multiple of the Boltzmann constant kB$.$ c$)$ Discuss how your result for b$)$ is consistent with this process $($thermal energy moving from the hotter to the colder object$)$ being spontaneous.