We appreciate your visit to Mean air temperature in a downcast shaft of 400 m depth is 28 C and in the upcast shaft is 38 C Calculate the Natural. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To solve this problem, we need to calculate the Natural Ventilation Pressure (NVP) using the data provided.
We use the formula for NVP which relates to the density differences between air in the downcast and upcast shafts due to temperature differences.
The formula for NVP is:
[tex]NVP = h \cdot g \cdot \left(\frac{1}{T_d} - \frac{1}{T_u}\right)[/tex]
where:
- [tex]h[/tex] is the shaft depth (400 m).
- [tex]g[/tex] is the acceleration due to gravity (9.81 m/s²).
- [tex]T_d[/tex] is the absolute temperature in the downcast shaft (in Kelvin), which is [tex]28°C + 273.15 \approx 301.15 \text{ K}[/tex].
- [tex]T_u[/tex] is the absolute temperature in the upcast shaft (in Kelvin), which is [tex]38°C + 273.15 \approx 311.15 \text{ K}[/tex].
First, convert the temperatures to Kelvin:
[tex]T_d = 28 + 273.15 = 301.15 \text{ K}[/tex]
[tex]T_u = 38 + 273.15 = 311.15 \text{ K}[/tex]
Now substitute these values into the NVP formula:
[tex]NVP = 400 \cdot 9.81 \cdot \left( \frac{1}{301.15} - \frac{1}{311.15} \right)[/tex]
Calculate the fractions:
[tex]\frac{1}{301.15} \approx 0.00332[/tex]
[tex]\frac{1}{311.15} \approx 0.00321[/tex]
The difference is:
[tex]0.00332 - 0.00321 = 0.00011[/tex]
Substitute back into the formula:
[tex]NVP = 400 \times 9.81 \times 0.00011 \approx 432.36 \text{ Pa}[/tex]
It seems there is a discrepancy in the initial choices of answers provided in the problem. Either a recalibration in conversion or understanding of the provided values should be regarded.
However, based on the calculations performed, the result for NVP is approximately 432.36 Pa. Since there is no matching choice among the options, it may be beneficial to verify assumptions and calculations again.
Thus, review the assumptions and ensure that all provided numbers and conversions match systematically with provided choices in the problem.
Chosen answer: None provided as the calculated value does not match options.
Thanks for taking the time to read Mean air temperature in a downcast shaft of 400 m depth is 28 C and in the upcast shaft is 38 C Calculate the Natural. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
