What is the drop-in enthalpy (in kJ/kg) for a steam whistle which is perfectly insulated and does not work, has an exit velocity of steam at 40 m/sec?

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SSC JE ME Previous Paper 17 ( Held on: 24 Jan 2018 Morning)
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  1. 0.8
  2. 8
  3. 80
  4. 800

Answer (Detailed Solution Below)

Option 1 : 0.8
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Detailed Solution

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Concept:

According to Steady Flow Energy Equation:

At 1 (steam enters the whistle) and 2 (steam leaves the whistle)

\({h_1} + \frac{{V_1^2}}{2} + g{z_1} + q = {h_2} + \frac{{V_2^2}}{2} + g{z_2} + w\)

Calculation:

As initial velocity is not given so V1 = 0 and No change in elevation (z1 = z2)

Q = 0 (perfectly insulated)

W = 0 (No work transfer)

\({h_1} = {h_2} + \frac{{V_2^2}}{2} ⇒ ({h_1} - {h_2})\times 10^3 = \frac{{V_2^2}}{2} = \frac{{{{40}^2}}}{2} = 0.8\;kJ/kg\)
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