Two charges, 12 mC and 11 mC, are fixed in place 1.0 m apart, with the second one to the right. Find the magnitude and direction of the net force on a -2.0 nC charge, placed at the following locations:

a) halfway between the two: |F|=

b) b) half a meter to the left of the 12 mC charge: |F|=

1.Humid air at 50 ºC and 1.0 atm with 2 ºC of superheat is fed to the condenser. Gas and liquid streams leave the condenser in equilibrium at 20 ºC and 1 atm.

(a)Assume a basis of calculation of 100 mol inlet air, draw and label a flow chart for the process.

(b)Calculate the mass of water condensed per m3 of air fed and kJ transferred per m3 air fed.

(c)What cooling rate (kW) would be required to process 250 m³ air fed/h?

If a Gamma source has an average counts/secreading of 160 at 1.0 m at what distance will the reading be at 40counts/sec?

A man with a geiger counter gets a reading of 1000counts per min. above background when he is 0.5 meters away from agamma source. what reading should he expect to get if he a. doubleshis distance from source, b. triples his distance from source, c.halves his distance from source?

8.56. Humid air at 70°C and 1.0 atm with 6°C of superheat is fed to a condenser. Gas and liquid streams leave the condenser in equilibrium at 25°C and 1 atm. (a) Assume a basis of calculation of 100 mol inlet air, draw and label a flowchart (including Q in the labeling), and carry out a degree-of-freedom analysis to verify that all labeled variables can be determined. (b) Write in order the equations you would solve to calculate the mass of water condensed (kg) per cubic meter of air fed to the condenser. Circle the unknown variable for which you would solve each equation. Do not do any of the calculations. (c) Prepare an inlet–outlet enthalpy table, inserting labels for unknown specific enthalpies (H^1, H^2, . . .). Write expressions for the labeled specific enthalpies, substituting values or formulas for heat capacities and latent heats but not calculating the values of the specific enthalpies. Then write an expression for the rate at which heat must be transferred from the unit (kJ per cubic meter of air fed to the condenser). (d) Solve your equations by hand to calculate kg H2O condensed/m3 air fed and kJ transferred/m3 air fed. (e) What cooling rate (kW) would be required to process 250 m3 air fed/h?

A 1.0 L container at 298 K contains 1 mole of hydrogen and 2 mole of methane gases. The partial pressures of the two gases and the total pressure is

Select one:

a. pH2 = 24.44 atm, p CH4 = 48.87 atm, P total = 73.31 atm

b. pH2 = 24.44 atm, p CH4 = 24.44 atm, P total = 48.87 atm

c. pH2 = 24.44 atm, p CH4 = 48.87 atm, P total = 24.44 atm

d. pH2 = 48.87 atm, p CH4 = 48.87 atm, P total = 97.74 atm

(K_w = 1.0 x 10^–14 ;    pH = –log[H₃O⁺];   pK_a = –logK_a;        pH = pK_a + log( base/acid)

1. The following equation shows the ionization of boric acid, H₃BO₃:

           H₃BO₃(aq) + H₂O ⇌ H₃O⁺(aq) + H₂BO₃^– (aq);       K_a = 5.4 x 10^–10

   (a) Calculate the pH of 0.100 M boric acid solution.

   (b) Write an equation for the ionization of borate ion, H₂BO₃^– , in aqueous solution (that is, its reaction with water) and calculate its K_b value, and determine the pH of solution of 0.10 M sodium borate, NaH₂BO₃(aq).

   (c) A borate buffer solution contains 0.15 M boric acid and 0.050 M sodium borate. What is the pH of this solution?

   (d) What is the molar ratio of borate ion, H₂BO₃^–, to boric acid, [H₂BO₃^–]/[H₃BO₃], in a buffer solution with pH = 8.70? If the concentration of boric acid in the buffer is 0.200 M, what should be the concentration of the borate ion?

   (e) If the solution in (d) is reacted with 0.020 M NaOH, how would this change the ratio:

[H₂BO₃^–] / [H₃BO₃], and what would be the pH of the resulting solution?

In the titration of 76.0 mL of 1.0 M methylamine, CH₃NH₂ (K_b = 4.4 ✕ 10^-4), with 0.32 M HCl, calculate the pH under the following conditions.

(a) after 50.0 mL of 0.32 M HCl has been added

(b) at the stoichiometric point

In isolation, a DNA-binding protein binds to its regulatory sequence with a Kd of 1.0 microM. Another DNA binding protein binds to another sequence on the same DNA a few bases away with a Kd of 5.0 microM when alone. The two proteins each have a domain which binds to the other, with an interaction energy of -2.7 kcal/mole: (a) Draw the thermodynamic box which represents all four states of this system. (b) what are the affinities for each protein in the presence of saturating amounts of the other?

Three blocks of unknown mass m1 = 1.0 kg, m2 = 2.0 kg, and m3 = 3.0 kg are on a frictionless horizontal surface as shown on the figure below. The blocks are connected by ideal, massless strings. A force FL = 12 N is applied to the left block and is directed to the left. A force FR = 33 N is applied to the right block, and is directed to the right.

Find the tensions T12 and T23, and the acceleration of the system.