What is Gibbs Paradox
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it's simply mixing paradox it is an entropy which decreases the volatility of the 2nd law of thermodynamics
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For gibbs paradox,
consider an ideal gas of N particles in a container with a volume V .
A partition separates the container into two sections with volumes V1 and V2,respectively,such that V1+V2=V2. Also, there are No particles in the volume V1 and N2 particles in the volume V2. it is assumed that the number density is the same throughout the system.
if the partition is now removed ,what should happen to the total entropy? since the particles are identical, the total entropy should not increase as the partition is removed because the two states cannot be differentiated due to the indistinguishability of the particles.
consider an ideal gas of N particles in a container with a volume V .
A partition separates the container into two sections with volumes V1 and V2,respectively,such that V1+V2=V2. Also, there are No particles in the volume V1 and N2 particles in the volume V2. it is assumed that the number density is the same throughout the system.
if the partition is now removed ,what should happen to the total entropy? since the particles are identical, the total entropy should not increase as the partition is removed because the two states cannot be differentiated due to the indistinguishability of the particles.
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