A gas is allowed to expand into an empty chamber that doubles the volume it occupies (free expansion). If there were 20 available states before the expansion and 10 particles in the gas, how many available states will there be after the expansion into the other, equal chamber, as a multiplier of 20? Be sure to express your factor withing 2%.

A gas is allowed to expand into an empty chamber that doubles the volume it occupies (free expansion). If there were 20 available states before the expansion and 10 particles in the gas, how many available states will there be after the expansion into the other, equal chamber, as a multiplier of 20? Be sure to express your factor withing 2%.