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water breaks down to produce hydrogen gas and oxygen gas


A pipe in an industrial plant is designed to carry a fluid of density 1500 kg m–3 at a speed of 3 m s–1. Any faster than this and the flow could become turbulent, with undesirable results. Any slower than this and the fluid could start to congeal on the sides of the pipe. The fluid is to be carried from a holding tank which is at a pressure of Pt to a manufacturing line at atmospheric pressure (Patm= 100kPa) which is 2.5 m below the holding tank. At what

pressure must the tank be maintained?


which industries are affected by the Russia-Ukraine conflict when the USA and European countries imposes sanctions on Russia. (You are allowed to choose more than one industry)

Provide an in-depth discussion on how the sector is affected and what impact will that have on the South African economy as a whole. Cite empirical evidence and news to support yourself.


[An increase in the productivity of research.] Suppose, there is a onetime increase in the

productivity of research Θ (theta), as in the Figure 5.1 (in textbook, Jones’). What will

happen to the level of technology, A and the growth rate overtime?


When you add a small amount of solute into the solvent in your set up 2 , what happen?

Show how the Romer model exhibits a scale effect in levels, that is, a larger economy will

be a richer economy. Give the demand and supply effects. Explain the two opposing effects

of SR on per capita output.


Prove that in the Romer model, the long run growth rate of the economy is determined by

the parameters of the production function for ideas and the rate of growth for researchers

which is ultimately given by the population growth rate. (Romer Model)


The Production of new goods, or new ideas, requires the possibility of earning profits and

therefore necessitates a move away from perfect competition. Explain this in the context of

Romer model


Explain the two characteristics of Public goods; a) Non-rivalrous and b) low degree of

excludability. How does the Idea behave like a public goods? Explain the problems

associated with the nature of Data on Ideas. (Romer Model)


“Among countries that have the same steady state, the convergence hypothesis should hold:

poor countries should grow faster on average than rich countries”. Explain with graphs and 

examples. (Romer Model)


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