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a. A state variable F would be extensive if, after multiplying all the e-ksensive variables for F by the A scale factor and leaving all the intensive variables in Funchanged, hthe asyl is a X- fold increase in F, I.e. AF. The expression we found for the mulative kuvolume in the phase space formonatomic gas is ide al using a microononic ensemble: (E, V, N)= VN (AnemE) INA 3N a.1. Use S = k In D and derivative results to write S as a function of thermodynamic variables N, V, and T! E = NKT Fissiles,S must be extensive. a.2. Indicate that the expression for S (N, V, T) failed the above test for extensive variables.

a. A state variable F would be extensive if, after multiplying all the e-ksensive variables for F by the A scale factor and leaving all the intensive variables in Funchanged, hthe asyl is a X- fold increase in F, I.e. AF. The expression we found for the mulative kuvolume in the phase space formonatomic gas is ide al using a microononic ensemble: (E, V, N)= VN (AnemE) INA 3N a.1. Use S = k In D and derivative results to write S as a function of thermodynamic variables N, V, and T! E = NKT Fissiles,S must be extensive. a.2. Indicate that the expression for S (N, V, T) failed the above test for extensive variables.

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Calculations that have beendone so far to get the volume allowed in the phase space, 2, for a classical system turned out to be wrong. The error will be demonstrationed in two different cases and then proposeits fix. a. A state variable F would be extensive if, after multiplying all the e-ksensive variables for F by the A scale factor and leaving all the intensive variables in Funchanged, hthe asyl is a A- fold increase in F, i.e. AF. The expression we found for the mulative kuvolume in the phase space formonatomic gas is ide al using a microononic ensemble: (E, V, N) = VN 4memEY 3N a.1. Use S = k In D and derivative results to write S as a function of thermodynamic variables N, V, and T! E = NKT Fissiles,S must be extensive. a.2. Indicate that the expression for S (N, V, T) failed the above test for extensive variables.
Transcribed Image Text:Calculations that have beendone so far to get the volume allowed in the phase space, 2, for a classical system turned out to be wrong. The error will be demonstrationed in two different cases and then proposeits fix. a. A state variable F would be extensive if, after multiplying all the e-ksensive variables for F by the A scale factor and leaving all the intensive variables in Funchanged, hthe asyl is a A- fold increase in F, i.e. AF. The expression we found for the mulative kuvolume in the phase space formonatomic gas is ide al using a microononic ensemble: (E, V, N) = VN 4memEY 3N a.1. Use S = k In D and derivative results to write S as a function of thermodynamic variables N, V, and T! E = NKT Fissiles,S must be extensive. a.2. Indicate that the expression for S (N, V, T) failed the above test for extensive variables.
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