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Air at 25°C and 5 atm is throttled by a valve to 1 atm. If the valve is adiabatic and the change in kinetic energy is negligible, determine the exit temperature of air. Solve using appropriate software.

User Sundar
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1 Answer

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Answer:


T_(2) = 25^(\circ)C

Solution:

As per the question:

Temperature,
T_(1) = 25^(\circ)C

Pressure,
P_(1) = 5 atm[\tex]</p><p>Now,</p><p>We know that the process of throttling occurs in adiabatic conditions where no heat is transferred in between the system and the surrounding, i.e., Q = 0</p><p>Thus no work is done in this process, i.e., W = 0</p><p>Enthalpy also remains same from one state to the other state, i.e., [tex]\Delta h = 0

Therefore, from the eqn:


Q - W = \Delta h + \Delta KE

We can write:


\Delta h = h_(1) - h_(2) = 0


\Delta h = C_(p)\Delta T


C_(p)(T_(2) - T_(1)) = 0

Thus


T_(1) = T_(2) = 25^(\circ)C

where


T_(2) = Exit temperature

User Oleksandr Albul
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