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Minimum work is said to be done when a gas expands
  • a)
    Adiabatically
  • b)
    Isochorically
  • c)
    Isothermally
  • d)
    Isobarically
Correct answer is 'B'. Can you explain this answer?
Verified Answer
Minimum work is said to be done when a gas expandsa)Adiabaticallyb)Iso...
An isobaric expansion of a gas requires heat transfer to keep the pressure constant. An isochoric process is one in which the volume is held constant, meaning that the work done by the system will be zero.
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Most Upvoted Answer
Minimum work is said to be done when a gas expandsa)Adiabaticallyb)Iso...
In an isochoric process, pressure (p) and temperature (T) changes but volume (V) remains constant.
As volume remains constant, change in volume (∆V) = 0. Therefore, work done = p∆V = 0
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Community Answer
Minimum work is said to be done when a gas expandsa)Adiabaticallyb)Iso...
Minimum work is done when a gas expands isochorically.

Explanation:
When a gas expands, the work done by the gas is given by the equation:

W = ∫PdV

where W is the work done, P is the pressure and dV is the change in volume.

Isochoric Process:
In an isochoric process, the volume of the gas remains constant. Therefore, dV = 0. As a result, the work done by the gas is zero. So, an isochoric process is said to be a zero-work process.

Isochoric Process and Minimum Work:
In an isochoric process, the work done is zero, which means no energy is transferred. Therefore, an isochoric process is said to be the process where the minimum work is done.

Other Processes:
In an adiabatic process, there is no heat transfer between the system and the surroundings. In an isothermal process, the temperature of the gas remains constant. In an isobaric process, the pressure of the gas remains constant.

Conclusion:
Therefore, the correct answer is option B, isochorically, as it is the process where the minimum work is done.
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