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A gas is filled in an air-tight container with a movable piston arrangement. If the gas is allowed to expand, the work done by the gas on the piston is-

A gas is filled in an air-tight container with a movable piston arrangement. If the gas is allowed to expand, the work done by the gas on the piston is- Correct Answer Positive

The correct answer is option 1) i.e. Positive.

CONCEPT:

  • Work done by a force: Work is said to be done by a force on a body when there is a displacement of the body due to that force. ​

​It is given as:

W = F.S.Cosθ

where W = Magnitude of work done by the force(F) in joule, F = Magnitude of force, in newton, SCosθ  = Component of the Displacement in the direction of the force, in meter

  • Positive and negative work: When the force and the displacement are in the same direction, work done is positive. When the force and displacement are in opposite directions, the work done is negative.
  • Zero work done: Work done is zero if force and displacement are perpendicular to each other or if the displacement of the body is zero.

EXPLANATION:

  • When the gas is allowed to expand, the gas pressure pushes the piston forward.
  • Since the motion of the piston and the force due to gas pressure acts in the same direction, the work done is positive.

Additional Information

  • If the force and displacement are in the opposite direction, the work done is negative.
  • If force and displacement are perpendicular to each other, the work done is zero.
  • A constant work done happens when neither the magnitude nor the direction of either force or displacement is changing.

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