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Liquid water enters an adiabatic piping system at 15°C at a rate of 8kg/s. If the water temperature rises by 0.2°C during flow due to friction, the rate of entropy generation in the pipe is?

Respuesta :

MathPhys

Answer:

23 W/K

Explanation:

Entropy of water at 15°C is 224.5 J/kg/K.

Entropy of water at 15.2°C is approximately 227.4 J/kg/K (interpolated).

The increase in entropy is therefore:

227.4 J/kg/K − 224.5 J/kg/K = 2.9 J/kg/K.

So the rate of entropy generation is:

2.9 J/kg/K × 8 kg/s = 23.2 W/K

Rounded to two significant figures, the rate is 23 W/K.

lhmarianateixeira

In this exercise we have to use the knowledge of entropy to calculate the value of the power of water, so we have to:

The rate of entropy generation is 23W/K

Given the following information, we have that:

  • Adiabatic piping system at 15°C
  • Entropy of water at 15°C is 224.5 J/kg/K.
  • Entropy of water at 15.2°C is approximately 227.4 J/kg/K

How we can calcule the entropy?

Entropy is an important physical quantity used in Statistical Mechanics and Thermodynamics to measure the degree of disorder in a system. We say that the greater the entropy change of a system, the greater its disorder, that is, the less energy will be available to be used.

The increase in entropy is therefore:

[tex]227.4 J/kg/K - 224.5 J/kg/K = 2.9 J/kg/K[/tex]

So the rate of entropy generation is:

[tex]2.9 J/kg/K * 8 kg/s = 23 W/K[/tex]

See more about entropy at brainly.com/question/15025401

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