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A fluid flowing along a pipe line undergoes a throttling process from 10 bar to 1 Bar in passing through a partially open valve. Before throttling, the specific volume of the fluid is 0.5 m3 /kg and after throttling is 2.0 m3 /kg. What is the Change in specific internal energy during the throttling process?
  • a)
    Zero
  • b)
    100 kJ/kg
  • c)
    200 kJ/kg
  • d)
    300 kJ/kg
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A fluid flowing along a pipe line undergoes a throttling process from ...
Throttling is a isenthalpic process
h1 = h2 or u1 + p1v1 = u2 + p2v2 or u2 – u1 = p1v1 – p2v2 = 1000 × 0.5 – 100 × 2 = 300 kJ/kg
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Most Upvoted Answer
A fluid flowing along a pipe line undergoes a throttling process from ...
Given data:
Initial pressure (P1) = 10 bar
Final pressure (P2) = 1 bar
Initial specific volume (v1) = 0.5 m3/kg
Final specific volume (v2) = 2.0 m3/kg

To find: Change in specific internal energy (Δu)

Formula used: Δu = u2 - u1 = C(v2 - v1)

where,
u = specific internal energy
C = specific heat at constant volume

Assumption: The fluid is assumed to be an incompressible substance and the throttling process is an isenthalpic process.

Calculation:
From the given data, we can calculate the specific enthalpy (h) of the fluid before and after the throttling process using the following formula:

h = u + Pv

where,
P = pressure

Initial enthalpy (h1) = u1 + P1v1 = 0 + 10 × 0.5 = 5 kJ/kg
Final enthalpy (h2) = u2 + P2v2 = ? + 1 × 2.0 = ?

As the process is assumed to be isenthalpic, the enthalpy remains constant, i.e., h1 = h2

Therefore, u2 = u1 + P1v1 - P2v2

Δu = u2 - u1 = P1v1 - P2v2

Substituting the given values, we get:

Δu = 10 × 0.5 - 1 × 2.0 = 5 - 2 = 3 kJ/kg

Therefore, the change in specific internal energy during the throttling process is 300 kJ/kg (multiplying by 1000 to convert from kJ/kg to J/kg).

Hence, option (d) is the correct answer.
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A fluid flowing along a pipe line undergoes a throttling process from 10 bar to 1 Bar in passing through a partially open valve. Before throttling, the specific volume of the fluid is 0.5 m3 /kg and after throttling is 2.0 m3 /kg. What is the Change in specific internal energy during the throttling process?a)Zerob)100 kJ/kgc)200 kJ/kgd)300 kJ/kgCorrect answer is option 'D'. Can you explain this answer?
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