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

an ideal gas has C_v=(7/2)R. A 2.00 mole sample of gas starts at P=1*10^5 Pa and T=300K. determine the total P, V&T for each of the following cases, as well as ΔE_int, W and Q

a) gas is heated at constant P to 400K

b) gas is heated at constant V to 400K

c) isothermal conpression to P=1.2*10^5 Pa

d) adiabatic to compression P= 1.2*10^5

1. Consider a galvanic cell consisting of the following two redox couples:

            Ag⁺(0.010M) + e^- --> Ag(s)    E⁰ = +0.80 V

         Cr³⁺(0.010M) + e^- --> Cr(s)   E⁰ = -0.74 V

Write the equation for the half reaction occurring at the cathode

Write the equation for the half reaction occurring at the anode.

Write the equation for the cell

What is the standard cell potential E⁰_cell for the cell?

Realizing the nonstandard concentrations, what is the actual cell potential, E⁰_cell for the cell? What is the value of the Nernst equation