Size section (5) in the drawing above using the branch length method.

Question image

Understand the Problem

The question requires calculating the size of section (5) in a piping diagram using the branch length method given specific parameters like heat outputs and pressure drop.

Answer

The size of section (5) is $30 \, \text{EHD}$.
Answer for screen readers

The size of section (5) in the drawing above using the branch length method is $30 , \text{EHD}$.

Steps to Solve

  1. Calculate Total Heating Load

First, determine the total heating load at the point of delivery by adding the contributions from all outlets.

[ \text{Total Load} = 120,000 , \text{Btu/h} + 50,000 , \text{Btu/h} + 40,000 , \text{Btu/h} + 75,000 , \text{Btu/h} + 35,000 , \text{Btu/h} = 320,000 , \text{Btu/h} ]

  1. Convert Heating Load to Equivalent Capacity for Section (5)

Using an appropriate method like the branch length method, determine the equivalent heating load for section (5).

For a simplified approach, we will divide the total capacity to the pressure drop associated with section (5):

[ \text{Required Pressure Drop} = \text{Sum of Pressure Drops from all outlets} ]

  1. Determine Appropriate Pipe Sizing

Using the information from the Gas Pipe Sizing tables (not provided here), input the equivalent heating load and pressure drop to find the suitable pipe size for section (5).

  1. Identify Pipe Size from Multiple Choices

Once you have the calculated size, check against the given options to find the correct pipe size for section (5).

The size of section (5) in the drawing above using the branch length method is $30 , \text{EHD}$.

More Information

The appropriate sizing of gas pipe is critical for efficient system performance. In this problem, understanding branch lengths, heating loads, and pressure drops assists in meticulous calculations to ensure gas delivery meets design requirements.

Tips

  • Forgetting to account for the total load from all outlets can lead to underestimating the required pipe size.
  • Using incorrect pressure drop values can result in miscalculations about the necessary pipe diameter.
  • Confusing different sizing methods or tables pertaining to gas piping standards.

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