Whether the following equation is valid for an ideal gas or not should be determined. Δ S = ∫ T i T f C V T d T + ∫ V i V f β κ d V = C V ln T f T i + β κ ( V f − V i ) Concept Introduction: Entropy is defined as the ratio of thermal energy to the temperature which is unavailable for work done. It is also defined as the measure of disorder of molecule of a system. It is an extensive property and state function. The spontaneous change takes place with an increase in entropy of the universe. The expression is shown as: Δ S u n i v = Δ S s y s + Δ S s u r r The sum of entropy change of system and surrounding is equal to entropy change of universe.

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Chapter 5, Problem 5.16CP

Interpretation Introduction

Interpretation:

Whether the following equation is valid for an ideal gas or not should be determined.

ΔS=∫TiTfCVTdT+∫ViVfβκdV=CVlnTfTi+βκ(Vf−Vi)

Concept Introduction:

Entropy is defined as the ratio of thermal energy to the temperature which is unavailable for work done. It is also defined as the measure of disorder of molecule of a system. It is an extensive property and state function. The spontaneous change takes place with an increase in entropy of the universe.

The expression is shown as:

ΔSuniv=ΔSsys+ΔSsurr

The sum of entropy change of system and surrounding is equal to entropy change of universe.

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