Which equation relates the viscosity of a fluid to the flow rate in a capillary

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Question: Which equation relates the viscosity of a fluid to the flow rate in a capillary tube?

Options:

Correct Answer: Poiseuille\'s law

Solution:

Poiseuille\'s law describes the flow of a viscous fluid through a capillary tube and relates viscosity to flow rate.

Which equation relates the viscosity of a fluid to the flow rate in a capillary tube?

Which equation relates the viscosity of a fluid to the flow rate in a capillary tube?

Step 1: Understand that viscosity is a measure of a fluid's resistance to flow.
Step 2: Recognize that a capillary tube is a narrow tube through which fluids can flow.
Step 3: Learn about Poiseuille's law, which describes how fluids flow through a tube.
Step 4: Know that Poiseuille's law states that the flow rate of a fluid through a capillary tube is directly related to the pressure difference and inversely related to the viscosity of the fluid.
Step 5: The equation for Poiseuille's law is Q = (π * r^4 * ΔP) / (8 * η * L), where Q is the flow rate, r is the radius of the tube, ΔP is the pressure difference, η is the viscosity, and L is the length of the tube.

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