Air enters a smooth, insulated $3 mathrm{~cm}$ diameter duct with stagnation pressure and temperature of $200 mathrm{kPa},

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Air enters a smooth, insulated $3 \mathrm{~cm}$ diameter duct with stagnation pressure and temperature of $200 \mathrm{kPa}, 500 \mathrm{~K}$, and a velocity of $100 \mathrm{~m} / \mathrm{s}$. Compute (a) the maximum duct length for these conditions, (b) the mass flow rate for a duct length of $15 \mathrm{~m}$ and $30 \mathrm{~m}$. Take $f=0.02$.

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