A magnetic field with induction B = 15 · 10−4T is directed perpendicular to the electric field with intensity E = 10V /cm. The beam of electrons flying at the speed v enters the space with the mentioned fields. The velocity of the electrons is perpendicular to the plane containing the vectors E and B. Calculate: 1) the electron velocity v, if the electron beam does not deviate under the simultaneous action of both fields; 2) the radius of curvature of the electron trajectory when only the magnetic field is on. 3) What is the kinetic energy of the electron in both cases?

3) Solve the initial value problems

c) R′ + (R/t) = (2/(1+t² )) , R(1) = ln 8.

e) ) cos θv′ + v = 3 , v(π/2) = 1.

5) Express the general solution of the equation x ′ = 2tx + 1 in terms of the erf function.

7) Solve x ′′ + x ′ = 3t by substituting y = x ′

9) Find the general solution to the differential equation x ′ = ax + b, where a and b are constants, first by separation of variables, and second by integrating factors

A three phase 30 hp 460 volt 60 hz, 1770 rpm design B induction motor with class F insulation and service factor of 1.0 is operating at rated shaft load in a 40 degree C environment and has an expected 20 yr life. A maintenance check shows line to line voltages to be 449.2 V, 431.3 V and 462.4 volts. The percent unbalanced voltage for this motor is:

the expected temperature rise equals?

The expected insulation life equals?

the rerating in horsepower equals?

Anna dissolves 32. grams of glucose with water and the final volume of solute and solvent is 122. mL. What is the concentration of glucose in her solution using the %(m/v) method? Amanda dissolves 0.14 moles of NaCl in 300 ml of solution. What is the concentration of NaCl in the solution using the molarity method? Remember that 1,000 mL = 1 Liter

Anna dissolves 32. grams of glucose with water and the final volume of solute and solvent is 122. mL. What is the concentration of glucose in her solution using the %(m/v) method

Consider a galvanic cell based on the following two half reactions at 298 K: SRP Fe3+ + e-  Fe2+ 0.77 V Cu2+ + 2 e-  Cu 0.34 V How many of the following changes will increase the potential of the cell? Why?

1. Increasing the concentration of Fe+3 ions

2. Increasing the concentration of Cu2+ ions

3. Removing equal volumes of water in both half reactions through evaporation

4. Increasing the concentration of Fe2+ ions

5. Adding a NO3 - solution to the anode portion of the cell

1. Prepare 1 mmol/L Lithium standard from lithium carbonate (Li2CO3). Give the quantity in mg/L.

2. If 3 mL of a 100 mcg/mL is diluted to 100 mL. What is the concentration in mg/dL?

3. Prepare 1L of 0.06M NaOH (FW 40) solution from 1N stock solution.

4. Prepare 2L of 0.85% (W/V) NaCl (FW 58).

5. Prepare a 5% W/V calcium chloride solution from CaCl2 * 6H2O (FW 219).

Determine the thermodynamic state of 1,1,1,2-Tetrafluoroethane (R-134a) at 102 °C and 1000 kPa. Critical Pressure= 4.059 MPa, Critical Temperature = 101.06°C.

*I keep getting stuck with a quadratic equation and two volume values, when using the van der Waals equation of state (P=(RT/(V-b))-(a/V^2))....I am determining the thermodynamic state by finding if the compressibility factor (z) is less than or greater than 1, to find if attractive or repulsive forces dominate.

Calculate the equilibrium potential of a copper wire immersed in 0.0005 M CuSO4 solution. The standard electrode potential for the reaction Cu2+ + 2e- = Cu0 at 25°C is 0.34 V (NHE). Now, answer the following questions and enter your results (numerical number only). Calculate the ionic strength (M) of the solution. 2.0×10-3 You are correct. Calculate the activity coefficient of Cu2+. 0.82 You are correct. Calculate the equilibrium potential (v) of the copper wire electrode. Note: use activity instead of concentration.

A piston–cylinder device initially contains 2 kg water in 1 m3 at 500 kPa. The system then cools down and the volume drops to half and pressure of 300 kPa. At this state, the piston is resting on a set of stops, and the mass of the piston is such that a pressure of 500 kPa is required to move it. (a) Show the process on a P-v, T-v and P-T diagrams with respect to saturation lines and determine, (b) the final temperature, (c) the work done during this process, and (d) the total heat transfer. full step plz

Consider the following standard reduction potentials,

For the voltaic cell reaction below, calculate the Fe2+ concentration that would be needed to produce a cell potential equal to 0.16 V at 25 oC when the pH of the solution is 13.00, [Fe3+] = 0.50 M and [H2O2] = 0.35 M.

2 Fe2+(aq) + H2O2(aq) → 2 Fe3+(aq) + 2 OH‒(aq)