Compare the Otto cycle, Diesel cycle, and Stirling cycle.

a: Draw the P-v diagrams and label all the processes.

b: Draw the corresponding T-s diagrams for the three power cycles and label all the processes.

c: Draw the corresponding T-v diagrams for the three power cycles and label all the processes.

d: Discuss the similarity and the difference about their thermal efficiencies explicitly.

e: Discuss how to improve the thermal efficiencies of the Otto cycle, the Diesel cycle, and the Stirling cycle.

Determine if the following sets are real vector spaces with the indicated operations.

(a) The set V of all ordered pairs (x, y) of real numbers with the addition defined by (x1, y1) + (x2, y2) = (x1 + x2, y1 + y2 + 1) and scalar multiplication defined by α(x, y) = (αx, αy + α − 1), α ∈ R

(b) The set V of all 2 × 2 real matrices X with the addition of M22 but scalar multiplication ∗ defined by α ∗ X = αXT , α ∈ R

Suppose an object falls from a great height on a planet where the constant of the acceleration of gravity is g = 7.84. Assume that the resistance of the atmosphere is proportional to the square of the velocity of the object with constant of proportionality k = 0.25. Establish and solve an Initial Value Problem to express the velocity of the object as a function of time. Find the terminal velocity of the object. Graph this function. Then express the fall distance as a function of time. Graph this function. Hint: g − kv2 = (√g − (√k)*v) (√g + (√k)*v)

For an element X, the following standard reduction potentials exist at a temperature of our study:

X^3+(aq) + 2 e– → X^+(aq) ε1° = 1.192 V

X^4+(aq) + 3 e– → X^+(aq) ε2° = 1.241 V

If [X^+] = 0.170 M, [X^3+] = 5.670 M, and [X^4+] = 0.174 M, at what temperature (in °C) will the galvanic/voltaic cell made from the above two half-reactions begins to become nonspontaneous?

At the inlet of a steam turbine the following information are given: p=1000 kPa, T=500 deg-C, u = 3124.3 kJ/kg, v = 0.35411, V=20 m/s, z=10 m, and mdot=10 kg/s.

determine the inlet area.

Determine the flow work at the inlet in MW

Determine the rate of transport of flow energy (Jdot).

If you neglect ke and pe in the expression for j, how would the answer in part c change? in percentage

A homemade capacitor is assembled by placing two 10 in pie pans 8 cm apart and connecting them to the opposite terminals of a 9 V battery.

(a) Estimate the capacitance.
  pF
(b) Estimate the charge on each plate.
pC
(c) Estimate the electric field halfway between the plates.
V/m
(d) Estimate the work done by the battery to charge the plates.
J
(e) Which of the above values change if a dielectric is inserted? (Select all that apply.)

electric fieldchargework done by the batterycapacitance

1- water at 100 degree and quality X=0.8 % has mass 0.1 kg find volume =?
2- R-410 at -10 degree and 100kpa find enthalpy h and energy u
3- water at 200kpa , v = 0.08 m^3/kg find pressure p and Quality x
4- water at 200 kpa , T= 270 degree find specific volume
5- water at p= 1200 kpa , V= 0.18m^3/kg find T,u

A solar cell generates a potential difference of 0.320 V when a 445.0 ? resistor is connected across it and a potential difference of 0.504 V when a 945.0 ? resistor is substituted.

A) What is the internal resistance of the cell in Ohms?

B) What is the emf of the cell?

C) The area of the cell is 27.0 cm² and the rate per unit area at which it receives light energy is 58.0 mW/ cm². What is the efficiency of the cell for converting light energy to thermal energy in the 945.0 ? external resistor?

A particle moves in the x-y plane with constant acceleration. At time zero, the particle is at r = <5.0, 2.0> m and has velocity v = <-4.0, 9.0> m/s. The acceleration is constant and is given by a = <4.0, 6.0> m/s2 . (a) Find the velocity at t = 2.0 s. (b) Find the position at t = 4.0 s. Give the magnitude and direction of this position vector. (c) Sketch (approximately to scale) the vector diagrams for vi , vf , and ?v, and for ri , rf , and ?r