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Question

Air with a mass flow rate of $5\ \mathrm{lb} / \mathrm{s}$ enters a horizontal nozzle operating at steady state at $800^{\circ} \mathrm{R}, 50\ \mathrm{lbf} / \mathrm{in}^2$ and a velocity of $10\ \mathrm{ft} / \mathrm{s}$. At the exit, the temperature is $570^{\circ} \mathrm{R}$ and the velocity is $1510\ \mathrm{ft} / \mathrm{s}$. Using the ideal gas model for air, determine

(a) the area at the inlet, in $\mathrm{ft}^2$, and

(b) the heat transfer between the nozzle and its surroundings, in Btu per lb of air flowing.

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 5Given data:

$\dot{m}=5\mathrm{\frac{lb}{s}}$

$T_1=800\mathrm{R}$

$p_1=50\mathrm{\frac{lbf}{in^2}}$ = $7200\mathrm{\frac{lbf}{ft^2}}$

$v_1=10\mathrm{\frac{ft}{s}}$

$T_2=570\mathrm{R}$

$v_2=1510\mathrm{\frac{ft}{s}}$

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