A sealed 1.0-L flask, initially containing 0.20 M COCl2, 0.20 M Cl2, and 0.20 M CO, is heated to 700 K

and allowed to come to equilibrium.

COCl2(g) ⇌ Cl2(g) + CO(g) Kc = 0.12 at 700 K

a. What are the molar concentrations of COCl2, Cl2, and CO once the reaction has reached equilibrium

at 700 K?

COCl2:_______________________________

Cl2:_______________________________

CO:_______________________________

b. 0.10 mol COCl2 is added to the equilibrium mixture. What are the molar concentrations of COCl2,

Cl2, and CO once equilibrium is re-established?

COCl2:_______________________________

Cl2:_______________________________

CO:_______________________________

DATA:

Part II

ANALYSIS QUESTIONS

1.   Plot a graph of magnetic field B vs. the current I through the solenoid. You may launch a fresh copy of LoggerPro, or use the file "magnetic field graph' in the Lab 08 folder.

2. Determine the equation of the best-fit line, including they-intercept. Note the constants and their units.

3. For each of the measurements of Part II, calculate the number of turns per meter. Enter these values in the data table.

4. Plot a graph of magnetic field B vs. the turns per meter of the solenoid (n). Use either Graphical Analysis or graph paper.

5. How is magnetic field related to the turns/meter of the solenoid?

6. Determine the equation of the best-fit line to your graph. Note the constants and their units

7.   From Ampere's law, it can be shown that the magnetic field B inside a long solenoid is B = µ0nl where I-to is the permeability constant. Do your results agree with this equation? Explain.

8.   The permeability constant for a vacuum, I-to, has a value of 4rcx10-7 Tm/A. Assuming the equation in step 8 applies to the Slinky, obtain a value of re from your graphs, and compare with the 'theoretical' value.

9.   Was your Slinky positioned along an east-west, north-south, or on some other axis? Will this have any effect on your readings?

1.Duration and Convexity

Your research department reports continuously compounded interest rates as

Maturity (Years) 0.5, 1.0, 1.5, 2.0

Interest Rate (%) 1.00, 1.50, 2.00, 2.00

(a) Use these rates to compute the prices P_z(0,1) and P_z(0,2) of one- and two-year zero coupon bonds, and the price P_c(0,2) of a two-year, 3% coupon bond. Coupons are paid semi-annually, and the face value of all bonds is 100.

(b) Obtain the coupon bond's duration and convexity.

(c) Suppose that the monthly changes in the interest rates have a mean of zero and a standard deviation of 0.5%. Obtain the monthly 95% Value at Risk and Expected Shortfall on the coupon bond.

(d) Construct a hedge portfolio of 1 coupon bond and k one-year zero coupon bonds that has zero duration. What is the value of k? What is the convexity of the hedge portfolio?

(e) Construct a hedge portfolio of 1 coupon bond, and k₁ one-year zero coupon bonds and k2 two-year zero coupon bonds, that has zero duration and convexity. What are the values of k₁ and k₂?

(f) Suppose that the yield curve shifts upward with dr = 1%. Recalculate P_c(0,2), P_z(0,1) and P_z(0,2) and use this to calculate the change in the values of the hedge portfolios constructed in (d) and (e). Comment on the result.

A 34kg child runs with a speed of 2.4 m/s tangential to the rim of a stationary merry go round. The merry go round has a moment of inertia of 520 kg*m^2 and a radius of 2.00m. After the child hops on the merry go round it rotates with an angular speed of 0.3 rad/s. Find the initial and final kinetic energy of the system. (merry go round and the child). If a frictional torque of 340 is present to slow down the merry go round, find the angular deceleration and calculate the angle in radians in which the merry go round rotates until it stops

Jason has not been studying and believes that the probability that he will pass his chemistry exam is 0.4, the probability that he will pass the biology exam is 0.3 and the probability that he will pass both exams is 0.18.

1) Find the probability that Jason will pass at least one of the exams.

2)Find the probability that he will pass the chemistry exam given that he passes the biology exam.

3)Find the probability that he will pass the biology exam if he passes the chemistry exam.

4)Find the probability that he will fail both exams.

Please answer questions and explain answer!! Thank you

There are six glass cups. all of them were filled by 100 mL sample solutions that contain Pb²⁺ ion with unknown concentration. Then into it added successively 0 ml; 0,1 ml; 0,2 ml; 0,3 ml; 0,4 ml; and 0,5 ml standard solutions 10 mg/L Pb²⁺. Table below shows the absorbances measurement of the solution in all six cups.

Calculate the concentration of Pb²⁺in the above sample if we assume the solution's volume is constant 100 ml.

question:

Bits 0 and 1 are transmitted in the data transmission channel,  due to a noise, a single bit is incorrectly received by a probability of 0.3 , Playback For encoding instead of bit 0, the code word 00000 and bit 1 are transmitted as code word 11111,The receiver decodes the codeword received by selecting the most frequently occurring bit ,  for example 00000 → 0, 01010 →

(a) What is the probability that the received code word is correctly decoded?

(b) When millions of bits are transmitted over the data channel over the above repetition coding, what is the expected value of decoded codewords incorrectly?

2. The following data of the dust levels in both urban homes and farm homes is given below as:

U: 6.0, 5.0, 11.0, 33.0, 4.0, 5.0, 80.0, 18.0, 35.0, 17.0, 23.0

F: 4.0, 14.0, 11.0, 9.0, 9.0, 8.0, 4.0, 20.0, 5.0, 8.9, 21.0, 9.2, 3.0, 2.0, 0.3

a) Compute sample mean, median and quartiles of each sample. How do they compare? Comment on your findings.

b) Construct a stem-and-leaf diagram for each sample and a comparative box plot. Compare the two samples and comment on the possible presence of outliers.

The diagram shows a mass after it slides down the inclined plane. There is a static
friction coefficient of 0.5 and a kinetic friction coefficient of 0.3 between the box
and the incline. The angle of the incline is 30 degrees , and the box has a mass of 4
kg . The starting height at the top of the ramp is 0.8 meters (and the distance along
the ramp is 1.6 meters ).
A) Prove, with numbers, that the box, if let go from rest at the top of the ramp
*will* start to slide down?
B) Calculate the magnitude of the energy “lost” due to the work done by friction
(in Joules).
C) Calculate the speed of the box at the bottom of the ramp (in m/sec).

Suppose you want to estimate the average mpg for cars being driven from campus to the Brass Rail. You sample a few of cars. The average mpg in your sample is 22, and the standard deviation is 10. If you want the error of the confidence interval to be no greater than 0.3 and to be 90% likely to contain the true population mean, how many cars should you randomly sample?

Group of answer choices

A)about 3,007 cars

B)about 9,112 cars

C)about 311 cars

D)about 942

E)This question cannot be answered using the information given