3 Joules
zero
infinite
9 Joules
The work done is the product of pressure and change in volume. In a free expansion into a vacuum, the external pressure is zero. Therefore, the work done (W) is calculated as:
W = -PΔV
Since P (external pressure) = 0, the work done is:
W = -0 * ΔV = 0
Therefore, the work done is zero Joules.