A student claims that an oil pipeline carrying a steady mass flow rate of must also…

PHYSICS · Single correct · CBSE · Physics · Mechanical Properties of Fluids · Mechanical Properties of Fluids

Problem

A student claims that an oil pipeline carrying a steady mass flow rate of 12 kg s−112\,\text{kg}\,\text{s}^{-1} must also be delivering 12 m3 s−112\,\text{m}^3\,\text{s}^{-1} of oil. Which of the following best evaluates the student’s claim? (a) The claim is correct because for any incompressible fluid the numerical values of mass flow rate and volumetric flow rate are identical. (b) The claim is incorrect because the volumetric flow rate equals the mass flow rate divided by the acceleration due to gravity. (c) The claim is incorrect because the volumetric flow rate equals the mass flow rate divided by the oil’s density. (d) The claim is incorrect because the volumetric flow rate should be the mass flow rate multiplied by the oil’s density.

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