Chapter 6, Problem 6.3P

Q3: A 4-stroke 6 litres engine is fuelled with methane (CH4) at an air-fuel ratio = 0.8. It operates at 2000 rpm with a volumetric efficiency of 80%. The exhaust (product) leaves the engine at 800 K, and the heat lost to the coolant is 3.4×105 kJ/kmol. What is the engine's output power? Assume both air and fuel (methane) inlet to the engine at 298 K. Take for methane, the molecular weight is M = 16 kg/kmol, and the heat of combustion is 50.01 MJ/kg. The ambient conditions (p = 101 kPa, T = 25 °C). (24 points)

Temperature (°C) 100 4. Consider the solidification of a binary Pb-10%Sn alloy. Assume that during solidification, there is complete mixing in the liquid and no diffusion in the solid. Use the phase diagram below to answer the following question. (a) Draw (on the phase diagram) the compositions of the liquid and the solid at the interface as a function of temperature during solidification. (b) Illustrate on the phase diagram how one would calculate the volume fraction solidified at a given temperature. (c) (d) Indicate the temperature at which solidification is complete. Do you expect ẞ to be present in the as-cast microstructure? Explain 300 327°C 200 a (Pb) 20 20 a + L 18.3 183°C α + β 40 60 Composition (wt% Sn) Liquid 600 500 232°C B+L 400 B 61.9 97.8 300 808 100 (Sn) 200 100 Temperature (°F)

I tried this problem a couple of times and don't know where I'm going wrong can you help me out please

y(0)=1, Using Laplace transforms solve the following differential equations : 11) y"-4y+4y=0, 12) y+2y+2y=0, y(0)=2.1, y'(0) = 3.9 y'(0)=-3. 13) y+7y+12y=21e", y(0)=3.5, y'(0)=-10. 14) +9y=10e. y(0)=0, y'(0) = 0. 15) y+3y+2.25y=91³ +64, y(0)=1, y'(0) = 31.5 16) -6y+5y= 29 cos(21), y(0)=3.2, y'(0)=6.2 17) "+2y+2y=0, y(0)=0, y'(0)=1. 18) +2y+17y=0, y(0)=0, y'(0)=12. 19) y-4y+5y=0, y(0)=1, y'(0) = 2. 20) 9y-6y+y=0, y(0)=3, y'(0)=1. 21) -2y+10y=0, y(0)=3, y'(0)=3.

4. Consider the rectangulan 2535 Let 16 a and section discussed 977b + class. in ie make a M thin" rectangle, Can you you show that Q = Go {a² = x² } . Imax = 2 Ga ты J =

1. Consider a circular shaft in torsion that of radius r=b has a key way as shown, circle of radius a Let us try the solution x₁ (5,0) = k (6² = r²) (1- 2 awso 1.1 Does this solve the problem for the stres rer 1,2 Solve for is and 23.

3. - a For an elliptical cross that the tangent to section resultant shear can you s stress is show ellipse with the same 24 i ratio of eccentricity, in passes through to point alb that in question, it + P

2. Consider the rod with an elliptical that strain 4 a Cross secton considered in class, Integrate the was displacement displacements, relations to obtain the

Please answer Oxygen at 300 kPa and 90°C flowing at an average velocity of 3 m/s is expanded in an adiabatic nozzle. What is the maximum velocity of the oxygen at the outlet of this nozzle when the outlet pressure is 60 kPa? Use the table containing the ideal gas specific heats of various common gases.   The maximum velocity of the oxygen at the outlet of this nozzle is 532.5  Numeric ResponseEdit Unavailable. 532.5 incorrect.m/s.