The working gas of a thermodynamic cycle is air(assume constant specific heats.)The gas originally starts at 100kPa, 4m3and 27oC. It undergoes a four step process:Process A-B: The gas is compressed at constant temperature to one-fourth of its volume. Process B-C: The volume of the gas is then doubled at constant pressure. Process C-D:The gas then undergoes an adiabatic expansion.Process D-A:The gas then undergoes a constant volume process back to its original statea) Make a table of the temperature, pressure, volume, internal energy, enthalpy, entropy and quality factor (T, P, V, U, H, S & x) at the start of each process.b) Make a table of the change in internal energy, heat flow, work done, change in enthalpy, and change in entropy (U, Q, W, H, S) during each leg of the cycle.c) Draw a well-labelled P-v diagram (indicating lines of constant temperature.)d) Calculate the thermal efficiency of the cycle.

1. An ideal transformer has a primary with 25 turns and secondary with 15 turns. The load resistor is 24 ? and the source voltage is 85 Vrms.What is the rms electric potential across the 24 ? load resistor?

Answer in units of Vrms

2. A transformer consists of two coils of wire wound on a common toroidal iron core. The mutual inductance of the pair is 483 mH and the current in the first coil decreases from 29 A to 0 in 2.9 s.

What is the induced emf in the second coil? Answer in units of V.

3.If the outer coil has 14.7 turns, a radius of 19 cm and length of 7.47 cm and the inner coil has 628 turns, a radius of 7 cm, and a length of 33.3 cm, find the mutual inductance of the circular coil and solenoid.

Answer in units of ?H

4. Now the current in the solenoid is increased linearly at a rate of di/dt = a =20.2 A/s.

What is the magnitude of the voltage E across the circular coil?

Answer in units of ?V.

Your friend’s professor gives out reasonably hard exams 70% of the time, and ridicu- lously hard exams 30% of the time. On hard exams, each student’s score on the exam is a normally distributed random variable with μH = 70 and σH = 10. On ridiculously hard exams, each student’s score on the exam is a normally distributed random variable with μR = 50 and σR = 15. Suppose you have four friends in the class, not just one. Let A be the average score of your four friends: A= (F1 +F2 +F3 +F4)/ 4 Where F1 is your first friend’s score, and F2 is your second friend’s score. Find E[A] and V ar(A) if the exam is ridiculously hard. (e) Find E[A] and V ar(A) if the exam is reasonably hard. (f) Since A is the sum of normal random variables, it is itself a normal random variable. Find P (A > 65) if the exam is reasonably hard, and if it is ridiculously hard. (g) If A is greater than 65, what is the probability the exam was ridiculously hard?

Suppose a small cannonball weighing 20 pounds is shot vertically upward, with an initial velocity v0 = 340 ft/s. The answer to the question "How high does the cannonball go?" depends on whether we take air resistance into account. If air resistance is ignored and the positive direction is upward, then a model for the state of the cannonball is given by d2s/dt2 = −g (equation (12) of Section 1.3). Since ds/dt = v(t) the last differential equation is the same as dv/dt = −g, where we take g = 32 ft/s2. If air resistance is incorporated into the model, it stands to reason that the maximum height attained by the cannonball must be less than if air resistance is ignored. (a) Assume air resistance is proportional to instantaneous velocity. If the positive direction is upward, a model for the state of the cannonball is given by m dv dt = −mg − kv, where m is the mass of the cannonball and k > 0 is a constant of proportionality. Suppose k = 0.0025 and find the velocity v(t) of the cannonball at time t.

13)) a) Consider the following half-reactions: Half-reaction E° (V) F2(g) + 2e- 2F-(aq) 2.870V 2H+(aq) + 2e- H2(g) 0.000V Zn2+(aq) + 2e- Zn(s) -0.763V

(1) The weakest oxidizing agent is: enter formula

(2) The strongest reducing agent is:

(3) The strongest oxidizing agent is:

(4) The weakest reducing agent is:

(5) Will F-(aq) reduce Zn2+(aq) to Zn(s)?

(6) Which species can be reduced by H2(g)? If none, leave box blank.

b))

Consider the following half-reactions: Half-reaction E° (V) Ag+(aq) + e- Ag(s) 0.799V Co2+(aq) + 2e- Co(s) -0.280V Fe2+(aq) + 2e- Fe(s) -0.440V

(1) The weakest oxidizing agent is: enter formula

(2) The strongest reducing agent is:

(3) The strongest oxidizing agent is:

(4) The weakest reducing agent is:

(5) Will Ag(s) reduce Fe2+(aq) to Fe(s)?

(6) Which species can be oxidized by Co2+(aq)? If none, leave box blank.

c))

Consider the following half-reactions: Half-reaction E° (V) I2(s) + 2e- 2I-(aq) 0.535V Co2+(aq) + 2e- Co(s) -0.280V Cr3+(aq) + 3e- Cr(s) -0.740V

(1) The strongest oxidizing agent is: enter formula

(2) The weakest oxidizing agent is:

(3) The weakest reducing agent is:

(4) The strongest reducing agent is:

(5) Will Cr3+(aq) oxidize I-(aq) to I2(s)?

(6) Which species can be oxidized by Co2+(aq)? If none, leave box blank.

Question 3 (5 + 5 + 4 = 14 Marks)
a. Match FIVE of the 11 audit sampling terms (1-11) with the five definitions
provided below in items (i-v):
1. attributes sampling
2. block sample selection
3. haphazard sample selection
4. non-statistical sampling
5. probability proportional to size
6. random selection
7. representative sample
8. sampling distribution
9. statistical sampling
10. stratified sampling
11. systematic sample selection
i the use of mathematical measurement techniques to calculate formal
statistical results and quantify sampling risk.
ii a statistical, probabilistic method of sample evaluation that results in an
estimate of the proportion of items in a population containing a characteristic
of interest.
iii a non-probabilistic method of sample selection in which items are chosen
without regard to their size, source, or other distinguishing characteristics.
iv a method of sampling in which all the elements in the total population are
divided into two or more subpopulations that are independently tested and
statistically measured.
v a sample in which every possible combination of items in the population has
an equal chance of constituting the sample.
Required:
State the above individual definition (i to v) is defined as which audit sampling item?

Suggested Answer for part a:
Click or tap here to enter text.

b. Describe the audit risk model and the interrelationships of its components. Which
components of the audit risk model can be controlled by the auditor?
Suggested Answer for part b:
Click or tap here to enter text.

BUACC5935 Auditing and Assurance Services Semester 2 2020

Page 7 of 10

c. Outline the difference between tests of control and substantive tests and give an
example of a substantive test.

Assume a biological process can be performed in either a plug flow or completely mixed flow reactor, and the process has a first-order reaction rate K of 0.5 hr^-1. Assume an influent concentration of 100 mg/L, a regulatory required effluent concentration of 10 mg/L, and a flow rate of 100 m³/hr.

a.   What reactor volume (m³) is required if one completely mixed reactor is used?

HINT: use the equation for a first order reaction with a CMR.

b.   What reactor volume (m³) is required if one plug flow reactor is used?

The equation for CMRs-in-series with a first-order reaction is , where V is the total volume of all reactors in the series, Q is the flow rate, “n” the number of reactors, C_o is the influent concentration to the series of reactors, and C_n is the concentration after “n” reactors. The residence time (Q) of each of reactors-in-series is V/(n Q). Thus, the total residence time is: Q_total = n Q, if Q is the residence time of each reactor tank. Be careful about the volume of each reactor

c.   What is the required TOTAL volume (m³) for four completely mixed reactors in series? Note in the above equation, this total volume is “V” in the above equation.

d.   Which of a, b, and c results in the smallest reactor volume? What are the ratios of the other two total reactor volumes to the “smallest” reactor volume?

e. All other things equal (other than reactor volume and thus cost), in selection of the type of reactor what is the order of preference (for these three reactor options) that you would if you were a consulting engineer?

10 Temporary absence under Section 7(1)(c) of the Income Tax Act 1967, refers to:

      I        Absence due to service matters or studies abroad

      II      Absence due to ill health of self or immediate family member

      III     Social visits not exceeding 15 days in total

      IV     Absence due to attending conferences or seminars abroad

      A      I, II

      B      I, II, III

      C      I, II, IV

      D      All of the above

11 Under Section 7(1)(c) of the Income Tax Act 1967, an individual is resident in Malaysia for the basis year for a particular year of assessment if he is in Malaysia for a period or periods amounting in total to ____ days or more and in three out of the four immediately preceding years, he is either resident or in Malaysia for a period or periods amounting in total to ____ days or more.

      A      90/90

      B      100/40

      C      150/30

      D      182/90

12 Under Section 7(1)(d) of the Income Tax Act 1967, an individual is resident in Malaysia for the basis year for a particular year of assessment if he is not in Malaysia at all in the year in question but resident in the following year; and resident in ____ preceding years.

      A      2

      B      3

      C      4

      D      5

13 The significance of being a tax resident in Malaysia for an individual includes:

      I        Tax rates

      II      Personal relief and tax rebate

      III     Taxability of employment income

      IV     Withholding tax

      V      Exemption on specific income

      A      I, II, III

      B      I, II, III V

      C      I, II, IV, V

      D      All of the above

You have recently commenced work for the Australian taxation division of YE International LLP an international accounting partnership. A partner in the Houston Texas office has contacted you and stated that one of his clients has a partly owned subsidiary in Australia that has asked him questions about four Australian Tax law cases, and accordingly he has told them that he would obtain an analysis of the cases. He is accordingly requesting you to provide the analysis for him to pass to the client. The cases are:

1^st Tax Case: SNF (Australia) Pty Ltd v FC of T (2011) 193 FCR 149                                             

2^nd Tax Case: Resource Capital Fund IV LP v Commissioner of Taxation [2019] FCAFC 51                

You have recently commenced work for the Australian taxation division of YE International LLP an international accounting partnership. A partner in the Houston Texas office has contacted you and stated that one of his clients has a partly owned subsidiary in Australia that has asked him questions about four Australian Tax law cases, and accordingly he has told them that he would obtain an analysis of the cases. He is accordingly requesting you to provide the analysis for him to pass to the client. The cases are:

2^nd Tax Case: Resource Capital Fund IV LP v Commissioner of Taxation [2019] FCAFC 51                

In providing your analysis, the following 5 points must be addressed:

1^st The arguments and Facts of the case.

2^nd What did the taxpayer say?

3^rd What was the main issue?

4^th What was the Commissioner’s argument?

5^th What did the Judges say?