1. An axial flow compressor is required to deliver 50 kg/s of air at a stagnation pressure of 500 kPa. At

inlet to the first stage the stagnation pressure is 100 kPa and the stagnation temperature is 23C.

The hub and tip diameters at this location are 0.436 m and 0.728 m. At the mean radius, which

is constant through all stages of the compressor, the reaction is 0.50 and the absolute air angle

at stator exit is 28.8 for all stages. The speed of the rotor is 8000 rev/min. Determine the number

of similar stages needed, assuming that the polytropic efficiency is 0.89 and that the axial velocity

at the mean radius is constant through the stages and equal to 1.05 times the average axial velocity.

2. Derive an expression for the degree of reaction of an axial compressor stage in terms of the flow

angles relative to the rotor and the flow coefficient. Data obtained from early cascade tests suggested that the limit of efficient working of an axial-flow compressor stage occurred when

a relative Mach number of 0.7 on the rotor is reached;

the flow coefficient is 0.5;

the relative flow angle at rotor outlet is 30 measured from the axial direction;

the stage reaction is 50%.

Find the limiting stagnation temperature rise obtained in the first stage of an axial compressor

working under these conditions and compressing air at an inlet stagnation temperature of

289 K. Assume the axial velocity is constant across the stage.

Regression 2. Algae cells were incubated in a culture medium containing different amounts of dilithium chloride. The concentration of dilithium in the algae cells was then measured. Concentrationinmedium(pg/g):0 1 2 5 10 20 Concentrationin cells (pg/g): 0 9 21 47 105 200 Was cellular concentration a function of medium concentration? Calculate the regression line: Y = a + bX (hint you need to solve for both the slope and the intercept). Test whether X explains a significant portion of the variability in Y (Le. the null hypothesis is that [3 = 0; Perform ANOVA for regression analysis and reject or fail to reject your Ho based on the F statistic). This question should be carried out by hand or calculator. Assume the concentration in the medium is the independent variable. (c) Which explanatory variable is most significant in the model? O Age O Weight O Height O Neck O Chest O Abdomen Ankle O Biceps O Wrist Which explanatory variable is least significant in the model?[13 marks] (b) Given that the regression equation is Y = 3.34X + 2.45. The ANOVA analysis of the equation as follows: ANOVA Significance df SS MS F Regression 1 73.07295 R 2. 152998 0.216193 Residual 4 33.9401 Total 5 208.8333 Based on the ANOVA analysis, answer the following: (1) Find the missing value of Q and R State all relevant symbol and word hypotheses. (ili) Test for significance of regression using a = 0.01. Make a conclusion about ANOVA analysis of the equation,Here is an ANOVA table as part of Minitab output for a Multiple Regression Model. A few values are missing: SOURCE DEGREES OF FREEDOM SUM OF SQUARES MEAN SQUARE F-Value Regression 2 4866 X1: Cost 1 1500 X2- People 1 3366 Error 25 1525 Total 27 6391 QUESTION: Find the formula for MSR. What Is the correct value for MSR (Mean Square due to Regression) for this ANOVA table? Group of answer choices 2433 61 236.70 9732