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Given R is a relation from A = {1,2,3,4,5}, R={(1,1),(2,2),(2,3),(2,4),(3,3),(4,4),(4,5)}.

Is R an equivalence relation?

 Canadian (CANDU) nuclear reactors produce energy by nuclear fission of uranium-235. 

in + 235U → Kr + 14Ba + 3 in 

If the molar enthalpy of fission for uranium-235 is -1.9 x1010 kJ/mol, how much energy can be obtained from the fission of 1.00 kg of pure uranium-235? 



A circle is placed in a square with a side length of 12 cm, as shown below. Find the area of the shaded region. use the value 3.14 for r, and do not round your answer. Be sure to include the correct unit in your answer.


Experiment 1

Materials: salt, fine pepper, small dish, plastic comb, wool/cotton cloth.

Procedure:

1. Put the salt and fine pepper separately in a small dish

2. Rub the plastic comb with cloth repeatedly.

3. Hover the comb over the salt and fine pepper.


Questions:

1. What do you think is the charge of the salt and fine pepper in step 1?

2. What do you think is the charge of the comb in step 2?

3. explain what happened in the experiment.


A sample of bauxite ore contains 7.71 x 1024 molecules of aluminum

oxide, Al20g. How many moles of aluminum oxide are in the sample?


In a porter governor the mass of the central load is 18 kg and the mass of each ball is 2kg. the top arms (250+X) mm while the bottom arms are (300+X) mm long. The friction of the sleeve is 20 N. If the top arms make 45 degree with the axis of rotation in the equilibrium position, find the range of the speed of the governor in that position


What is the molar mass of magnesium


The program has the following structure:

• Declare three int variables nrPupils, nrGroups, and nrLeft. nrPupils represents the number of pupils in a class, nrGroups represents the number of groups the class is divided into, and nrLeft represents the number of pupils, if any, who are in the remaining smaller group.

• Assign the value 56 to nrPupils.

• Declare an int variable groupSize that is used by a cin statement to input a value from the keyboard and store the size of the groups the teacher requested. Display an appropriate message. E.g. Please enter the size of each group?

• Write the statement to calculate the number of groups of size groupSize.

• Write the statement to calculate the number of pupils who are in the remaining smaller group.


Air refrigeration works between 1 bar and 5 bar pressure limits. The temperature of the air entering the compressor and expansion cylinder is 8+A0C and 20+B0C respectively. The expansion and compression follow the law pv1.3=Constant. Find the following: • The theoretical C.O.P of the refrigerating cycle. • If the load on the refrigerating machine is 10 tons, then find the amount of air circulated per minute through the system. Assuming the actual C.O.P is 50% of the theoretical C.O.P. • Length and diameter of the single-acting compressor run at 300 r.p.m and the volumetric efficiency are 85%.


Write a function to conduct input validation to secure the smallest buffer. You may call this function void SecurePasswordBuffer(const char *arg). 

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