The change in entropy is 2.91 x 10-24 J/K
For an ideal gas,
The entropy of a molecule, S = KB ln(W)
KB – Boltzmann constant (1.38065 x 10-23 J/K)
W – Equivalent microstates of the molecule.
Winitial = 324
Wfinal = 400
Sfinal – Sinital = KB ln(Wfinal) - KB ln(Winital)
ΔS = KB ln(Wfinal / Winital)
= (1.38065 x 10-23 J/K) * ln(400/324)
= 2.91 x 10-24 J/K
In the ideal gas law, the temperature of the hydrogen gas is determined if the volume and pressure of the gas are known.
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