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Steam pressures at the inlet and exit of a nozzle are 16 bar and 5·2 barrespectively and discharge is 0·28 m3/s. Critical pressure ratio is 0.5475.If the exit pressure is reduced to 3·2 bar then what will be the flow ratein m3/s?
- a)0.280
- b)0.328
- c)0.356
- d)0.455
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Steam pressures at the inlet and exit of a nozzle are 16 bar and 5...
Ans. (a) Flow Ratio remains constant for chocked condition. Therefore flow rate
will remain same even when there is decrease in the pressure to 3.2 bar.
∴ Flow rate in m3 / sec = 0.280 m3 / sec
will remain same even when there is decrease in the pressure to 3.2 bar.
∴ Flow rate in m3 / sec = 0.280 m3 / sec
Most Upvoted Answer
Steam pressures at the inlet and exit of a nozzle are 16 bar and 5...
Given:
Inlet steam pressure (P1) = 16 bar
Exit steam pressure (P2) = 52 bar
Discharge flow rate (Q1) = 0.28 m3/s
Critical pressure ratio (CR) = 0.5475
To find:
Flow rate (Q2) when the exit pressure is reduced to 32 bar
Formula:
Mass flow rate (m) = density (ρ) × velocity (V) × area (A)
Assumptions:
1. Steady flow process
2. Nozzle is adiabatic and reversible
3. Negligible changes in kinetic and potential energy
Analysis:
1. Calculate the density (ρ1) at the inlet using the ideal gas equation:
PV = mRT
ρ1 = P1 / (RT1)
Where R is the specific gas constant and T1 is the temperature at the inlet.
2. Calculate the density (ρ2) at the exit using the ideal gas equation:
ρ2 = P2 / (RT2)
Where T2 is the temperature at the exit.
3. Calculate the velocity (V1) at the inlet using the mass flow rate equation:
m = ρ1 × A1 × V1
V1 = m / (ρ1 × A1)
Where A1 is the cross-sectional area at the inlet.
4. Calculate the velocity (V2) at the exit using the mass flow rate equation:
V2 = m / (ρ2 × A2)
Where A2 is the cross-sectional area at the exit.
5. Calculate the area ratio (AR) using the critical pressure ratio:
AR = (P2 / P1)^(1/CR)
6. Calculate the area at the exit (A2) using the area ratio:
A2 = AR × A1
7. Calculate the flow rate (Q2) at the exit using the mass flow rate equation:
Q2 = ρ2 × V2 × A2
Calculation:
1. Given values:
P1 = 16 bar
P2 = 52 bar
Q1 = 0.28 m3/s
CR = 0.5475
2. Calculate ρ1:
Using the ideal gas equation: PV = mRT
Assuming the specific gas constant as R = 0.287 kJ/kgK (for steam)
Assuming the temperature at the inlet as T1 = 300 K (for simplicity)
ρ1 = P1 / (RT1)
= (16 × 10^5) / (0.287 × 300)
≈ 186.27 kg/m3
3. Calculate ρ2:
Assuming the temperature at the exit as T2 = 300 K (for simplicity)
ρ2 = P2 / (RT2)
= (52 × 10^5) / (0.287 × 300)
≈ 609.55 kg/m3
4. Calculate V1:
Using the mass flow rate equation: m = ρ1 × A1 × V1
Assuming the cross-sectional area at the inlet as A1 = 1 m2 (for simplicity)
V1 = Q1 / (ρ1 × A1)
=
Inlet steam pressure (P1) = 16 bar
Exit steam pressure (P2) = 52 bar
Discharge flow rate (Q1) = 0.28 m3/s
Critical pressure ratio (CR) = 0.5475
To find:
Flow rate (Q2) when the exit pressure is reduced to 32 bar
Formula:
Mass flow rate (m) = density (ρ) × velocity (V) × area (A)
Assumptions:
1. Steady flow process
2. Nozzle is adiabatic and reversible
3. Negligible changes in kinetic and potential energy
Analysis:
1. Calculate the density (ρ1) at the inlet using the ideal gas equation:
PV = mRT
ρ1 = P1 / (RT1)
Where R is the specific gas constant and T1 is the temperature at the inlet.
2. Calculate the density (ρ2) at the exit using the ideal gas equation:
ρ2 = P2 / (RT2)
Where T2 is the temperature at the exit.
3. Calculate the velocity (V1) at the inlet using the mass flow rate equation:
m = ρ1 × A1 × V1
V1 = m / (ρ1 × A1)
Where A1 is the cross-sectional area at the inlet.
4. Calculate the velocity (V2) at the exit using the mass flow rate equation:
V2 = m / (ρ2 × A2)
Where A2 is the cross-sectional area at the exit.
5. Calculate the area ratio (AR) using the critical pressure ratio:
AR = (P2 / P1)^(1/CR)
6. Calculate the area at the exit (A2) using the area ratio:
A2 = AR × A1
7. Calculate the flow rate (Q2) at the exit using the mass flow rate equation:
Q2 = ρ2 × V2 × A2
Calculation:
1. Given values:
P1 = 16 bar
P2 = 52 bar
Q1 = 0.28 m3/s
CR = 0.5475
2. Calculate ρ1:
Using the ideal gas equation: PV = mRT
Assuming the specific gas constant as R = 0.287 kJ/kgK (for steam)
Assuming the temperature at the inlet as T1 = 300 K (for simplicity)
ρ1 = P1 / (RT1)
= (16 × 10^5) / (0.287 × 300)
≈ 186.27 kg/m3
3. Calculate ρ2:
Assuming the temperature at the exit as T2 = 300 K (for simplicity)
ρ2 = P2 / (RT2)
= (52 × 10^5) / (0.287 × 300)
≈ 609.55 kg/m3
4. Calculate V1:
Using the mass flow rate equation: m = ρ1 × A1 × V1
Assuming the cross-sectional area at the inlet as A1 = 1 m2 (for simplicity)
V1 = Q1 / (ρ1 × A1)
=
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Steam pressures at the inlet and exit of a nozzle are 16 bar and 5·2 barrespectively and discharge is 0·28 m3/s. Critical pressure ratio is 0.5475.If the exit pressure is reduced to 3·2 bar then what will be the flow ratein m3/s?a)0.280b)0.328c)0.356d)0.455Correct answer is option 'A'. Can you explain this answer?
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Steam pressures at the inlet and exit of a nozzle are 16 bar and 5·2 barrespectively and discharge is 0·28 m3/s. Critical pressure ratio is 0.5475.If the exit pressure is reduced to 3·2 bar then what will be the flow ratein m3/s?a)0.280b)0.328c)0.356d)0.455Correct answer is option 'A'. 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 Steam pressures at the inlet and exit of a nozzle are 16 bar and 5·2 barrespectively and discharge is 0·28 m3/s. Critical pressure ratio is 0.5475.If the exit pressure is reduced to 3·2 bar then what will be the flow ratein m3/s?a)0.280b)0.328c)0.356d)0.455Correct answer is option 'A'. 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 Steam pressures at the inlet and exit of a nozzle are 16 bar and 5·2 barrespectively and discharge is 0·28 m3/s. Critical pressure ratio is 0.5475.If the exit pressure is reduced to 3·2 bar then what will be the flow ratein m3/s?a)0.280b)0.328c)0.356d)0.455Correct answer is option 'A'. Can you explain this answer?.
Steam pressures at the inlet and exit of a nozzle are 16 bar and 5·2 barrespectively and discharge is 0·28 m3/s. Critical pressure ratio is 0.5475.If the exit pressure is reduced to 3·2 bar then what will be the flow ratein m3/s?a)0.280b)0.328c)0.356d)0.455Correct answer is option 'A'. 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 Steam pressures at the inlet and exit of a nozzle are 16 bar and 5·2 barrespectively and discharge is 0·28 m3/s. Critical pressure ratio is 0.5475.If the exit pressure is reduced to 3·2 bar then what will be the flow ratein m3/s?a)0.280b)0.328c)0.356d)0.455Correct answer is option 'A'. 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 Steam pressures at the inlet and exit of a nozzle are 16 bar and 5·2 barrespectively and discharge is 0·28 m3/s. Critical pressure ratio is 0.5475.If the exit pressure is reduced to 3·2 bar then what will be the flow ratein m3/s?a)0.280b)0.328c)0.356d)0.455Correct answer is option 'A'. Can you explain this answer?.
Solutions for Steam pressures at the inlet and exit of a nozzle are 16 bar and 5·2 barrespectively and discharge is 0·28 m3/s. Critical pressure ratio is 0.5475.If the exit pressure is reduced to 3·2 bar then what will be the flow ratein m3/s?a)0.280b)0.328c)0.356d)0.455Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
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