Chemistry
Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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A 5.00 wt% sulfuric acid solution in water has a density of 1.03 g/mL and is flowing through a 45-meter long pipe that has a 6.0 cm diameter at a rate of 82 liters per minute.

The average velocity of a fluid in a pipe equals the volumetric flow rate divided by the cross-sectional area normal to the direction of flow.

How long in seconds does it take the solution to flow through the 45-meter long pipe?

Expert Solution
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Step 1-Introduction

The cross-sectional area (CSA) of the cylinder provides two-dimensional information about its three-dimensional arrangement. Mathematically, the magnitude of CSA can be determined by the following formula:

 CSA=πr2   ...(1)

where 'r' is the radius of the cylinder. 

 The velocity of a liquid that flows through a cylinder is calculated by the following formula:

Velocity=Volume of the cylinderCross-sectional area   ...(2) 

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