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Let A be the adjacency matrix of an undirected network and 1 be the column vector whose elements are all 1. In terms of these quantities, write expressions for;
a) the vector k whose elements are the degrees ki of the vertices;
b) the number m of edges in the network;
c) the matrix N whose element Nij is equal to the number of common neighbors of vertices i and j;
d) the total number of triangles in the network, where a triangle means three vertices, each connected by edges to both of the others
The rate expression for a particular reaction is rate=k[A][B]^2. If the initial concentration of B is increased from 0.1M to 0.3M, the initial rate will increase by which of the following factors
Describe what circumstances would suggest that a Type II error would be of more concern. Carefully Explain.
consider the combustion of methane, CH4:CH4 + 2 O2 (g) -->CO2(g) + H2O suppose 1.5 mol of methane is allowed to react with 4 mol of oxygen what is the limiting reagent?
ideal gas in 2.0 L what will be the volume of the gas if the pressure on the container is doubled while the temperature is reduced from 400 K to 200 K.
Summarize the research problem and how the authors used chemical engineering design principles to study it. Summarize the methods and the key findings and conclusions.
What is the pH of a buffer solution prepared with 0.05 M sodium borate and 0.004 M boric acid. The pKa value of boric acid is 9.21 at 25 degrees Celcius (round to two decimal places).
How much heat is absorbed by a 125g sample of water when it is heated from 25.200C to 32.800C? The specific heat of water is 4.184 J/g0C.
what is the molarity of a solution of silver perchlorate agclo4 if 3.2 moles of silver perchlorate is dissolved in 1.5
Calculate the theoretical ph of one of your buffer at 0^0 C. Assume that room temperature is 22^0 C. If none of your buffer is listed on the table of changing pka with temperature, do this problem for TRIS at ph 8.0.
The colors of the acid and base forms of the indicator bromocresol green are yellow and blue, respectively, and its pKa is 4.6. What color would be expected for the indicator in a solution of pH 6.0 and in a solution of pH 4.8?
If 0.785 mole of ammonia gas occupies 24.5 L at 0.853 atm, what is the Celcius temperature
What products would you expect from the reaction of 1 mol of 1,3-butadiene and each of the following reagents? (If no reaction would occur, indicate that as well.)
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