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Air at 50 kPa pressure and 400 K temperature flows in a duct at Mach 3.0. A part of the flow leaks through an opening on the duct wall into the ambient, where the pressure is 30 kPa. The maximum Mach number achieved in the discharge is _______ (accurate to two decimal places). (Ratio of specific heats of air is �� = 1.4)
Correct answer is '3.30 to 3.40'. Can you explain this answer?
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Air at 50 kPa pressure and 400 K temperature flows in a duct at Mach 3...
Given data:
Pressure at inlet (P1) = 50 kPa
Temperature at inlet (T1) = 400 K
Mach number at inlet (M1) = 3.0
Pressure at ambient (P2) = 30 kPa
Ratio of specific heats (��) = 1.4

Calculations:
1. Using the isentropic relations for Mach number, we have:
- M1 = sqrt((2/(�� - 1)) * ((P1/P2)^((�� - 1)/��) - 1))
- 3.0 = sqrt((2/(1.4 - 1)) * ((50/30)^((1.4 - 1)/1.4) - 1))
2. Solving the above equation, we get the maximum Mach number achieved in the discharge as:
- M2 = 3.30 to 3.40
Therefore, the maximum Mach number achieved in the discharge is between 3.30 to 3.40.
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Air at 50 kPa pressure and 400 K temperature flows in a duct at Mach 3...
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Air at 50 kPa pressure and 400 K temperature flows in a duct at Mach 3.0. A part of the flow leaks through an opening on the duct wall into the ambient, where the pressure is 30 kPa. The maximum Mach number achieved in the discharge is _______ (accurate to two decimal places). (Ratio of specific heats of air is �� = 1.4)Correct answer is '3.30 to 3.40'. Can you explain this answer?
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Air at 50 kPa pressure and 400 K temperature flows in a duct at Mach 3.0. A part of the flow leaks through an opening on the duct wall into the ambient, where the pressure is 30 kPa. The maximum Mach number achieved in the discharge is _______ (accurate to two decimal places). (Ratio of specific heats of air is �� = 1.4)Correct answer is '3.30 to 3.40'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Air at 50 kPa pressure and 400 K temperature flows in a duct at Mach 3.0. A part of the flow leaks through an opening on the duct wall into the ambient, where the pressure is 30 kPa. The maximum Mach number achieved in the discharge is _______ (accurate to two decimal places). (Ratio of specific heats of air is �� = 1.4)Correct answer is '3.30 to 3.40'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Air at 50 kPa pressure and 400 K temperature flows in a duct at Mach 3.0. A part of the flow leaks through an opening on the duct wall into the ambient, where the pressure is 30 kPa. The maximum Mach number achieved in the discharge is _______ (accurate to two decimal places). (Ratio of specific heats of air is �� = 1.4)Correct answer is '3.30 to 3.40'. Can you explain this answer?.
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