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Two moles of an ideal gas expand spontaneously into a vacuum. The work done is ans. zero 4J 2J infinity

Question

Two moles of an ideal gas expand spontaneously into a vacuum. The work done is

  • ans.
  • zero
  • 4J
  • 2J
  • infinity
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Solution

The work done is zero.

This is because work is defined as force applied over a distance. In this case, the gas is expanding into a vacuum, which means there is no opposing force to the gas's expansion. Therefore, no work is done.

In more scientific terms, work done (W) is given by the equation W = PΔV, where P is pressure and ΔV is change in volume. In a vacuum, the external pressure (P) is zero. Therefore, regardless of the change in volume, the work done will be zero because anything multiplied by zero is zero.

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