S= R+R ln 2 ² h² 2лmk T 3/2 B V o determine that the entropy content of one mole of argon gas at 300 K is 155 J/K. If the same system were raised to a temperature of 600 , and all other parameters remained the same, what would the entropy of the argon be?

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The provided text includes an equation for determining the entropy \( S \) of a system:

\[ S = \frac{5}{2}R + R \ln \left[ \left( \frac{2 \pi m k_B T}{h^2} \right)^{3/2} \frac{1}{V} \right] \]

where:
- \( R \) is the universal gas constant,
- \( m \) is the mass of a gas particle,
- \( k_B \) is the Boltzmann constant,
- \( T \) is the temperature in Kelvin,
- \( h \) is the Planck constant,
- \( V \) is the volume.

The task is to determine that the entropy content of one mole of argon gas at 300 K is 155 J/K. If the same system were raised to a temperature of 600 K, with all other parameters remaining the same, what would the entropy of the argon be?
Transcribed Image Text:The provided text includes an equation for determining the entropy \( S \) of a system: \[ S = \frac{5}{2}R + R \ln \left[ \left( \frac{2 \pi m k_B T}{h^2} \right)^{3/2} \frac{1}{V} \right] \] where: - \( R \) is the universal gas constant, - \( m \) is the mass of a gas particle, - \( k_B \) is the Boltzmann constant, - \( T \) is the temperature in Kelvin, - \( h \) is the Planck constant, - \( V \) is the volume. The task is to determine that the entropy content of one mole of argon gas at 300 K is 155 J/K. If the same system were raised to a temperature of 600 K, with all other parameters remaining the same, what would the entropy of the argon be?
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