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Question:

Three moles of an ideal gas expanded spontaneously into vacuum. The work done will be:

3 Joules

zero

infinite

9 Joules

Solution:

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.