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Two Horizontal Pipes Are the Same Length, but Pipe B ΔVΔt\frac { \Delta V } { \Delta t }

question 66

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Two horizontal pipes are the same length, but pipe B has twice the diameter of pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across the lengths of the pipes. If the flow rate in pipe A is Q = ΔVΔt\frac { \Delta V } { \Delta t } , what is the flow rate in pipe B?

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Definitions:

Osmotic Pressure

The pressure that needs to be applied to a solution to prevent the inward flow of water across a semipermeable membrane.

Turgor Pressure

The pressure exerted by water inside the cell against the cell wall, contributing to the structural rigidity of plant cells.

Cell Metabolism

The complex set of life-sustaining chemical reactions in cells that allows organisms to grow, reproduce, maintain structures, and respond to environments.

Oxygen

A chemical element essential for most forms of life on Earth, used in cellular respiration.

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