Air enters a $3 mathrm{~m}$ long pipe $(f=0.02)$ of diameter $0.025 mathrm{~m}$ at a stagnation temperature of

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Air enters a $3 \mathrm{~m}$ long pipe $(f=0.02)$ of diameter $0.025 \mathrm{~m}$ at a stagnation temperature of $300 \mathrm{~K}$. If the static pressure of the air at the exit of the pipe is $100 \mathrm{kPa}$ and the Mach number is 0.7 , determine the stagnation pressure at entry and the mass flow rate through the pipe.

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