The dynamic behavior of the liquid level in a leg of a manometer tube, responding to a change in pressure, is given by                          d2h′/dt2+6μ/R2ρ dh′/dt+3g/2Lh′=3p′(t)/4ρL   where h′(t) is the level of fluid measured with respect to the initial steady-state value,p′(t) is the pressure change, and R,L,g,ρ,and μ are constants.(a)Rearrange this equation into standard gain-time constant form and find expressions for K,τ,ζ in terms of the physical constants.(b)For what values of the physical constants does the manometer response oscillate?(c)Would changing the manometer fluid so that ρ(density) is larger make its response more oscillatory, or less? Repeat the analysis for an increase in μ(viscosity).

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Basic Chemical Calculations (Process and Variables)

A basic chemical calculation involves the application of the law of chemical proportions to various reactions and material and energy balance calculations on various chemical processes. Basic chemical calculation helps students analyze various chemical processes and develop problem-solving skills. The chemical manufacturing processes are divided into unit operations involving physical changes of material and unit processes involving the chemical transformation of materials. For instance, fluid flow, heat transfer, and mass transfer are unit operations, and oxidation, reduction, and pyrolysis are unit processes.