Let us consider that there is a circular tray on a table that can rotate in a horizontal plane. Let the wagon start moving in straight direction with an acceleration of 0.5 m / s^2 relative to the ground. Let the tray on the table start rotating at the same time with the angular speed of ω = 2πt. Here, t is in seconds and ω is in radians per second. At this moment, an insect with a mass of m = 0.01 kg v. 0.1 m / s in the radial direction in the direction of the wagon outwards from the center of the tray.

a) In the insect's reference system, find the magnitudes and directions of the forces acting on the insect at t = 1.0 sec. Also find the direction and magnitude of the total force?

b) If the static friction coefficient between the insect and the tray is μ = 0.4, find the approximate distance the insect can travel without slipping?

THERE IS NO MORE INFORMATION AND PICTURE FOR THIS QUESTION, TY !

4. Calculate the equilibrium concentration of Ag⁺ (aq) in a solution that is initially 0.150 M AgNO₃ and 0.500 M KCN. The formation constant for [Ag(CN)₂]^- (aq) is K_f= 1.0 x 10²¹

a. 8.9 x 10^-21 M

b. 2.3 x 10 ^-21 M

c. 4.3 x 10 ^-22 M

d. 7.5 x 10 ^-22 M

e. 3.8 x 10 ^-21 M

5. If a solution of Pb(NO₃)₂ (aq) is mixed with a solution of NaBr(aq), what condition would cause precipitation of PbBr₂ (s) to occur?

a. When [Na⁺][NO₃^-] < K_sp for PbBr₂

b. When [Pb²⁺][Br ^-]² < K_sp for PbBr₂

c. When [Pb²⁺][Br ^-] < K_sp for PbBr₂

d. When [Pb²⁺][Br ^-]² > K_sp for PbBr₂

e. When [Pb²⁺][Br ^- ] > K_sp for PbBr₂

Here we will look at an example of subatomic elastic collisions. High-speed neutrons are produced in a nuclear reactor during nuclear fission processes. Before a neutron can trigger additional fissions, it has to be slowed down by collisions with nuclei of a material called the moderator. In some reactors the moderator consists of carbon in the form of graphite. The masses of nuclei and subatomic particles are measured in units called atomic mass units, abbreviated u, where 1u=1.66×10^−27kg. Suppose a neutron (mass 1.0 u) traveling at 2.6×10^7m/s makes an elastic head-on collision with a carbon nucleus (mass 12 u) that is initially at rest. What are the velocities after the collision?

If the neutron's kinetic energy is reduced to 49/64 of its initial value in a single collision, what is the mass of the moderator nucleus?
Express your answer in atomic mass units as an integer.

For each of the following, is the solution acidic, basic, neutral, or cannot be determined? For each, write the equation for the dominant equilibrium which determined the pH, and justify your pH prediction. Kw = 1.0 x 10-14

100 mL of 0.10 M NaH3P2O7; Ka1 = 3.0 x 10-2, Ka2 = 4.4 x 10-3, Ka3 = 2.5 x 10-7, and Ka4 = 5.6 x 10-10 for H4P2O7.

100 mL of 0.10 M K2H2P2O7; see Part a for Ka values

100 mL of 0.10 M Li3HP2O7; see Part a for Ka values

100 mL of 0.10 M Na4P2O7; see Part a for Ka values

100 mL of 0.10 M C9H7N; Kb = 6.3 x 10-10 for C9H7N

100 mL of 0.10 M Ba(ClO4)2

100 mL of 0.10 M CH3CH2OH

A CI is desired for the true average stray-load loss μ (watts) for a certain type of induction motor when the line current is held at 10 amps for a speed of 1500 rpm. Assume that stray-load loss is normally distributed with σ = 2.2. (Round your answers to two decimal places.)

(a) Compute a 95% CI for μ when n = 25 and x = 50.8.

,

watts

(b) Compute a 95% CI for μ when n = 100 and x = 50.8.

,

watts

(c) Compute a 99% CI for μ when n = 100 and x = 50.8.

,

watts

(d) Compute an 82% CI for μ when n = 100 and x = 50.8.

,

watts

(e) How large must n be if the width of the 99% interval for μ is to be 1.0? (Round your answer up to the nearest whole number.)
n =

A CI is desired for the true average stray-load loss μ (watts) for a certain type of induction motor when the line current is held at 10 amps for a speed of 1500 rpm. Assume that stray-load loss is normally distributed with σ = 2.2. (Round your answers to two decimal places.)

(a) Compute a 95% CI for μ when n = 25 and x = 50.8.

,

watts

(b) Compute a 95% CI for μ when n = 100 and x = 50.8.

,

watts

(c) Compute a 99% CI for μ when n = 100 and x = 50.8.

,

watts

(d) Compute an 82% CI for μ when n = 100 and x = 50.8.

,

watts

(e) How large must n be if the width of the 99% interval for μ is to be 1.0? (Round your answer up to the nearest whole number.)
n =

Reaction 1: NH4+(aq) + H2O(l)NH3 + H3O+(aq) pKA = 9.2

the system described above, it has been found that the activity coefficients for the species in solution are: (NH4+) = 0.80, (H3O+) = 0.90, (OH-) = 0.88 – the activity coefficients for neutral molecules are 1.0.

a.) Write down the equilibrium expression for Reaction 1 in terms of activity coefficients and concentrations – i.e. the correct equilibrium expression which is NOT just in terms of concentrations.

b.) Now algebraically manipulate this expression so the right-hand side of it is only in terms of concentrations (i.e. algebraically move the activity coefficients to the other side of the equation) and calculate the new “effective” KA’ and pKA’ for this reaction, in terms of concentrations, under these specific conditions.

c.) Utilize the ICE Table Method to calculate the equilibrium concentrations of each species (as well as the pH – recall that pH = -log10 AH3O+) presented in the chemical equation.

Determine the standard cell potential and the cell potential under the stated conditions for the electrochemical
reactions described here. State whether each is spontaneous or nonspontaneous under each set of conditions at
298.15 K.
(a) Hg(l) + S2-(aq, 0.10 M) + 2Ag+(aq, 0.25 M) ⟶ 2Ag(s) + HgS(s)
(b) The galvanic cell made from a half-cell consisting of an aluminum electrode in 0.015 M aluminum nitrate
solution and a half-cell consisting of a nickel electrode in 0.25 M nickel(II) nitrate solution.
(c) The cell made of a half-cell in which 1.0 M aqueous bromide is oxidized to 0.11 M bromine ion and a half-cell in
which aluminum ion at 0.023 M is reduced to aluminum metal. Assume the standard reduction potential for Br2(l) is
the same as that of Br2(aq)

The small bubbles that form on the bottom of a water pot that is being heated (before boiling) are due to dissolved air coming out of solution.

Part A

Use Henry's law and the solubilities given below to calculate the total volume of nitrogen and oxygen gas that should bubble out of 1.1 L of water upon warming from 25 ?C to 50 ?C. Assume that the water is initially saturated with nitrogen and oxygen gas at 25 ?C and a total pressure of 1.0 atm. Assume that the gas bubbles out at a temperature of 50 ?C. The solubility of oxygen gas at 50 ?C is 27.8 mg/L at an oxygen pressure of 1.00 atm. The solubility of nitrogen gas at 50 ?C is 14.6 mg/L at a nitrogen pressure of 1.00 atm. Assume that the air above the water contains an oxygen partial pressure of 0.21 atm and a nitrogen partial pressure of 0.78 atm.