A fully insulated and completely empty tank is being filled with some fluid with negligible fluid velocity. Which of the following is correct? 

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SSC JE Mechanical 16 Nov 2022 Shift 2 Official Paper
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  1. Specific enthalpy of entering fluid is equal to final specific internal energy of fluid in the charged tank. 
  2. Specific enthalpy of entering fluid is equal to final specific potential energy of fluid in the charged tank
  3. Nothing can be said about specific enthalpy. 
  4. Specific enthalpy of entering fluid is equal to final specific kinetic energy of fluid in the charged tank. 

Answer (Detailed Solution Below)

Option 1 : Specific enthalpy of entering fluid is equal to final specific internal energy of fluid in the charged tank. 
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Detailed Solution

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Concept:

This is the case of an unsteady state.

Energy associated with entering fluid = \((m_2-m_1)(h_1+\frac{V_1^2}{2})~\)

Q = heat transfer of the control volume, then

\((m_2-m_1)(h_1+\frac{V_1^2}{2})+Q=m_2u_2-m_1u_1~\)

The tank is fully insulated so Q = 0, then

\((m_2-m_1)(h_1+\frac{V_1^2}{2})=m_2u_2-m_1u_1~\)

Also, the tank is initially empty so \(m_1=0~\)

\(m_2(h_1+\frac{V_1^2}{2})=m_2u_2~\)

The velocity of entering fluid is negligible, so \(V_1=0\)

The final result is,

\(h_1=u_2~\)

So, the specific enthalpy of entering fluid is equal to final specific internal energy of fluid in the charged tank.

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