Determine the change in the entropy of air, in kJ/kg-K, as it undergoes a change of state from 100 kPa and 20°C to 600 kPa and 300°C using the equation of state P(v-a) = RT where a = 0.02 m³/kg. Also, find the value using the ideal gas equation of state. Use data from the tables. The value of the ideal gas constant for air is R = 0.287 kJ/kg-K. The change in the entropy of air for the equation of state is 0.1598 kJ/kg-K and for the ideal gas equation of state is 0.1733 ✔ kJ/kg-K.

Determine the change in the entropy of air, in kJ/kg-K, as it undergoes a change of state from 100 kPa and 20°C to 600 kPa and 300°C using the equation of state P(v-a) = RT where a = 0.02 m³/kg. Also, find the value using the ideal gas equation of state. Use data from the tables. The value of the ideal gas constant for air is R = 0.287 kJ/kg-K. The change in the entropy of air for the equation of state is 0.1598 kJ/kg-K and for the ideal gas equation of state is 0.1733 ✔ kJ/kg-K.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Entropy

In physics, entropy means the amount of disorder or the degree of randomness associated with a thermodynamic system. The system is not self-organized when the entropy of the system is high. For instance, when a system is at an elevated temperature, its molecules are in random motion, vibrating and colliding with each other. During this scenario, the probability of finding a molecule at a particular place twice, is low. Under this circumstance, the system can be said to be in a high entropy.

Question

Determine the change in the entropy of air, in kJ/kg·K, as it undergoes a change of state from 100 kPa and 20°C to 600 kPa and 300°C using the equation of state

\[ P(v-a) = RT \]

where \( a = 0.02 \, \text{m}^3/\text{kg} \). Also, find the value using the ideal gas equation of state. Use data from the tables. The value of the ideal gas constant for air is \( R = 0.287 \, \text{kJ/kg·K} \).

The change in the entropy of air for the equation of state is \( \boxed{0.1598} \, \text{kJ/kg·K} \) and for the ideal gas equation of state is \( \boxed{0.1733} \, \text{kJ/kg·K} \).

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