Question 13 ( 10 points)
Consider a convergent divergent nozzle in which steam enters at 0.8 MP and leaves the nozzle at 0.15 MPa , Assuming isentropic expansion and index \( \mathrm{n}= \) 1.135, find the ratio of cross-sectional area at the exit to the area at the throat for choked conditions \( A_{1} / A_{2} \).
Critical pressure for maximem matr flow is given:
Form the Mollict chant
\[
\boldsymbol{P}_{\mathbf{c}}=\boldsymbol{P}_{\mathbf{2}}=P_{1}\left(\frac{2}{n+1}\right)^{\frac{n}{n-1}}=0.8\left(\frac{2}{2.135}\right)^{2+1}=0.462 \mathrm{MPa}
\]
\( \mathrm{h}_{1}=2769 \mathrm{k} / \mathrm{k}, \quad h_{2}=2659 \mathrm{~kJ} / \mathrm{kg} . \quad h_{y}=2452 \mathrm{~kJ} / \mathrm{kg} \)
Dryness fraction: \( x=0.954, v_{g 2}=0.4038 \mathrm{m3} \mathrm{dg} \)
Drness fraction: \( \left.x_{j}=0.902, v_{g}\right)=1.1593 \mathrm{m3} / \mathrm{kg} \)