We trapped 28 kg of dry air, and it initially has standard pressure and temperature. The trapped air parcel rises in the atmosphere until the temperature is 188 K. What is the change in entropy if the pressure decreases by 28% after the parcel rises?

We trapped 28 kg of dry air, and it initially has standard pressure and temperature. The trapped air parcel rises in the atmosphere until the temperature is 188 K. What is the change in entropy if the pressure decreases by 28% after the parcel rises?

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Question

Expert Solution

Step 1

Given :

Mass of the dry air trapped, m = 28 kg

The trapped dry air, initially has standard pressure and temperature, i.e.,

Initial pressure, $P_{i} = 1.013 \times 10^{5} P a$

Initial temperature, $T_{i} = 273 K$

The trapped air parcel rises in the atmosphere up until the pressure and temperature are :

Final pressure, is decreased by $28 %$ of the initial pressure,

$P_{f} = (\frac{100 - 28}{100}) \times 1.013 \times 10^{5} P a P_{f} = 72936 P a$

Final temperature, $T_{f} = 188 K$

Determine the change in entropy.

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