A sample of a gas is in a reaction vessel under a certain set of conditions such that it possesses 4.101084.10108microstates. The volume of the vessel is then changed leading to an increase in the number of microstates by a factor of 2.302.30 .

a) Determine the entropy for the final configuration of the gas.

b) Determine the change in entropy when the sample goes from the initial state to the final state.