Engineering
07.10.2022 21:41
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Air in a rigid tank is initially at 320 k and 130 kpa. heat is added until the final

Air in a rigid tank is initially at 320 k and 130 kpa. heat is added until the final pressure is 438 kpa. what is the change in entropy of the air? do not assume constant specific heats
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nando3024
nando3024
4,9(92 marks)

Change in entropy is 0.8712 kJ/kgK

Given:

Initial Temperature, T = 320 K

Initial Pressure, P = 130 kPa

Final Pressure, P' = 438 kPa

Solution:

Here, a rigid tank is considered, therefore, the volume of the tank is constant and for a process at constant volume:

Pressur, P ∝ Temperature, T

Therefore,

\frac{P'}{P} = \frac{T'}{T}

T' = \frac{P'}{P}\times T

T' = \frac{438}{130}\times 320 = 1078 K

Now, change in entropy is given by:

m(s' - s) = \int_{T}^{T'}\frac{1}{T}mC_{v}dT

(s' - s) = 0.718[ln\frac{T'}{T}]_{320}^{1078}

(s' - s) = ln\frac{1078}{320} = 0.8716

Therefore, change in entropy is 0.8712 kJ/kgK

alexiasommers41
alexiasommers41
4,5(34 marks)

A Jacob's ladder or magic tablets or Chinese blocks or klick-klack toy

i knew it as klick klack toy

Explanation:

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