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A sample of steam from a boiler drum at 3 MPa is put through a throttling calorimeter in which the pressure and temperature are found to be 0.1 MPa, 120° C. Find the quality of the sample taken from the boiler.
Take hf = 2676.2 kJ/kg & hg = 2776.4 kJ/kg corresponding to 1 bar
hf = 1008.4 kJ/kg & ht = 1793.9 kJ/kg corresponding to 30 bar
    Correct answer is '0.95'. Can you explain this answer?
    Most Upvoted Answer
    A sample of steam from a boiler drum at 3 MPa is put through a thrott...
    To solve this problem, we can use the First Law of Thermodynamics for a throttling process. The equation is:

    h1 + V1^2/2 + gz1 + q - w = h2 + V2^2/2 + gz2

    where:
    h1 = enthalpy at state 1 (initial state in the boiler drum)
    V1 = velocity at state 1 (initial state in the boiler drum)
    g = acceleration due to gravity
    z1 = elevation at state 1 (initial state in the boiler drum)
    q = heat transfer
    w = work transfer (usually negligible for throttling process)
    h2 = enthalpy at state 2 (final state in the throttling calorimeter)
    V2 = velocity at state 2 (final state in the throttling calorimeter)
    z2 = elevation at state 2 (final state in the throttling calorimeter)

    Since the velocity and elevation do not change in a throttling process, we can simplify the equation to:

    h1 + q = h2

    Given:
    P1 = 3 MPa
    P2 = 0.1 MPa
    T2 = 120°C = 393.15 K
    hf = 2676.2 kJ/kg

    To find the quality (x) of the sample, we need to determine the enthalpy at state 1 (h1) and state 2 (h2). We can use the steam tables or a steam property calculator to find these values.

    For state 1:
    Using the steam tables or calculator at 3 MPa, we find:
    h1 = 2786.2 kJ/kg (approximately)

    For state 2:
    Using the steam tables or calculator at 0.1 MPa and 120°C, we find:
    h2 = 2676.2 kJ/kg (given)

    Now, we can substitute these values into the simplified equation:
    2786.2 kJ/kg + q = 2676.2 kJ/kg

    Solving for q:
    q = 2676.2 kJ/kg - 2786.2 kJ/kg
    q = -110 kJ/kg

    Since q is negative, it indicates that heat is being transferred out of the system. This means the sample is not saturated steam, but rather a mixture of liquid and vapor.

    To find the quality (x), we can use the equation:
    x = (h1 - hf) / (hfg)

    Where:
    hfg = hg - hf

    Using the steam tables or calculator at 3 MPa, we find:
    hg = 2836.7 kJ/kg (approximately)

    Substituting the values into the equation:
    x = (2786.2 kJ/kg - 2676.2 kJ/kg) / (2836.7 kJ/kg - 2676.2 kJ/kg)
    x = 110 / 160.5
    x ≈ 0.685

    Therefore, the quality of the sample taken from the boiler is approximately 0.685.
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    Community Answer
    A sample of steam from a boiler drum at 3 MPa is put through a thrott...
    P1 = 3MPa = 30bar
    p2 = 0.1MPa = 1 bar
    t2 = 120°C
    h2 = 2676.2 + 20/50(2776.4 - 2676.2)
    = 2716.3 kJ/kg
    ∴ h1 = h2
    ∴ h1 = 2716.3 at 30bar
    If dryness fraction is
    ∴h1 = hg1 + xhfg1
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    A sample of steam from a boiler drum at 3 MPa is put through a throttling calorimeter in which the pressure and temperature are found to be 0.1 MPa, 120° C. Find the quality of the sample taken from the boiler.Take hf = 2676.2 kJ/kg & hg = 2776.4 kJ/kg corresponding to 1 barhf = 1008.4 kJ/kg & ht = 1793.9 kJ/kg corresponding to 30 barCorrect answer is '0.95'. Can you explain this answer?
    Question Description
    A sample of steam from a boiler drum at 3 MPa is put through a throttling calorimeter in which the pressure and temperature are found to be 0.1 MPa, 120° C. Find the quality of the sample taken from the boiler.Take hf = 2676.2 kJ/kg & hg = 2776.4 kJ/kg corresponding to 1 barhf = 1008.4 kJ/kg & ht = 1793.9 kJ/kg corresponding to 30 barCorrect answer is '0.95'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A sample of steam from a boiler drum at 3 MPa is put through a throttling calorimeter in which the pressure and temperature are found to be 0.1 MPa, 120° C. Find the quality of the sample taken from the boiler.Take hf = 2676.2 kJ/kg & hg = 2776.4 kJ/kg corresponding to 1 barhf = 1008.4 kJ/kg & ht = 1793.9 kJ/kg corresponding to 30 barCorrect answer is '0.95'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sample of steam from a boiler drum at 3 MPa is put through a throttling calorimeter in which the pressure and temperature are found to be 0.1 MPa, 120° C. Find the quality of the sample taken from the boiler.Take hf = 2676.2 kJ/kg & hg = 2776.4 kJ/kg corresponding to 1 barhf = 1008.4 kJ/kg & ht = 1793.9 kJ/kg corresponding to 30 barCorrect answer is '0.95'. Can you explain this answer?.
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