Two moles of an ideal gas expand spontaneously into a vacuum. The work done is
Question
Two moles of an ideal gas expand spontaneously into a vacuum. The work done is
Solution
The work done is zero.
Here's why:
Work done (W) on or by a gas is given by the formula W = PΔV, where P is the pressure and ΔV is the change in volume.
In this case, the gas is expanding into a vacuum. The pressure in a vacuum is zero. Therefore, regardless of the change in volume, the work done (W) will be zero because zero (the pressure) times any number (the change in volume) equals zero.
So, when two moles of an ideal gas expand spontaneously into a vacuum, the work done is zero.
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