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Q#1 GATE CH 2021 NAT +2 marks -0.66 marks

A viscous liquid is pumped through a pipe network in a chemical plant. The annual pumping cost per unit length of pipe is given by

                                               

The annual cost of the installed piping system per unit length of pipe is given by

𝐂𝐩𝐢𝐩𝐢𝐧𝐠 = 𝟒𝟓. 𝟗𝟐𝐃

Here, D is the inner diameter of the pipe in meter, q is the volumetric flowrate of the liquid in m3 s–1 and μ is the viscosity of the liquid in Pa.s.

If the viscosity of the liquid is 20 × 10–3 Pa.s and the volumetric flow rate of the liquid is 10–4 m3 s–1, the economic inner diameter of the pipe is_______ meter (round off to 3 decimal places).

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Topic Questions Attempted Correct
Heat Transfer 26 0 0
Chemical Technology 17 0 0
Mechanical Operations 12 0 0
Mass Transfer 42 0 0
Instrumentation and Process Control 26 0 0
Fluid Mechanics 24 0 0
Engineering Mathematics 41 0 0
General Aptitude 60 0 0
Chemical Reaction Engineering 26 0 0
Process Calculation 9 0 0
Plant Design Economics 10 0 0
Thermodynamics 24 0 0