Question

Part B: Determine the pressure at the exit in lbf/in^2 (Ignoring heat transfer)

Problem 4.026 Air enters a diffuser operating at steady state at 750°R, 15 lbf/in.2, with a velocity of 600 ft/s, and exits with a velocity of 60 ft/s. The ratio of the exit area to the inlet area is 6 Assuming the ideal gas model for the air and ignoring heat transfer, determine the temperature, in °R, and pressure, in lbf/in., at the exit. Part A Assuming the ideal gas model for the air and ignoring heat transfer, determine the temperature at the exit, in °R. T2 R the tolerance is +/-2% Open Show Work Click if you would like to Show Work for this question: SHOW HINT By accessing this Question Assistance, you will learn while you earn points based on the Point Potential Policy set by your instructor. Attempts: 0 of 3 used SAVE FOR LATER SUBMIT ANSWER Part B The parts of this question must be completed in order. This part will be available when you complete the part above.

Answer 1

Soln we will convert all the given values in SI unit. for air R=0.287 KI KGK P. = 15 ehffin = 103.421 KP W = 60 = 18.288m T= 750R= 672.039K V = 600 ft/s = 182.88 m  = 6 Op = 1.005 hvor man P = 1.005 ko agk writing are Steady flow energy equation: h + y² = ha + V² huhe - V - ² CP (Ti-I) - V - v² 2000 2000 Zeoc 2000 2000 → 1.005 (672.039-To) - (18.286) ? (182.85)? T2 = 688.512 K Tg = 1239.32 R- Now calculating density of air at ① using ideal gas equation P, SRT, RT = 0.5362 1963 0.287X (72.039 - 562 Now by mass Conservation : SIAN = S₂ Az V₂ Se = S = 0.5362 x 18288 x 6 = 32. (72 kg/m3 . 18.288 No to by ideal gas egn. P = S2 RT₂ P2 = 32-172x 0.287x688.512 = 6.3573 MPa D SOS P₂ = 922.05 lbfline