Your intuition should by now indicate that the reverse process of the air that was originally confined to one side of a chamber and allowed to expand to fill the entire chamber is impossible. To prove it to be impossible, we can conduct a second law analysis to assess the entropy produced. If the value for the entropy produced is negative, then in fact it is proven to be impossible. Report the entropy produced in units of kJ/K and report your answer using 3 significant digits. Consider the following:
m = 2.1777kg
P1 = 250kPa
Vi = 1m ^3
T2 = T1 = 400K
P2 = 500kPa
V2 = 0.5m^3

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onyebuchinnaji onyebuchinnaji · Answer 1 · 2022-02-21T13:23:45+01:00

The entropy produced in the system is -62.5 J/k.

The work done on the system is calculated as follows;

W = ΔPV

W = (P₂ - P₁)(V₂ - V₁)

W = (500 kPa - 250 kPa)(0.5 - 1)

W = (250 kPa)(-0.5)

W = - 250 x 10³ x 0.5

W = -1.25 x 10⁵ J

The entropy of the system is calculated as follows;

[tex]\Delta S = \frac{\Delta H}{T} \\\\\Delta S = \frac{-1.25 \times 10^{5}}{400} \\\\\Delta \ S = -62.5 \ J/K[/tex]

Thus, the entropy produced in the system is -62.5 J/k.

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