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Treating the atmospheric air to be an ideal gas, what shall be the atmospheric pressure (in kPa) at the top of the skyscraper Bhurj Khalifa in Dubai standing tallest since 2008 with a height of 828 m. Consider the given variation of atmospheric condition with altitude. The characteristic gas constant for atmospheric air can be considered as 287 J / kg-­K
Correct answer is 'Range: 91 to 92'. Can you explain this answer?
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Treating the atmospheric air to be an ideal gas, what shall be the at...
Based on the graph, the temperature varies linearly (decreases) ∴ T = T0 − βy ⋯ ① where T is the temperature at an altitude y from zero sea level. β is the lapse rate, T0 is temperature at zero sea level Using hydro-static law
dp / dy = −ρg ⋯ ②
But as the atmospheric air may be treated as an ideal gas ρ = p / RT
Substituting the same in ② dp / dy = −pg / RT
Using ①
dp / dy =−pg / R(T0 − βy )
∴dp / p = −g dy / R(T0 − βy )
Given, p0 = 101.3 kPa
T0 = 15°C i. e. 288 K
R = 287 J / kg‒ K
Also β can be predicted from the graph.
β = −56.5 − 15 / 11000
= 0.0065°C/m or 0.0065 K/m
∴ at y = 828 m
p = 101.3 ( 1 − 0.0065 × 828 / 288) 9.81/9.81/0.0065x287
p = 101.3 × 0.98135.256
p = 91.73 kPa
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Treating the atmospheric air to be an ideal gas, what shall be the atmospheric pressure (in kPa) at the top of the skyscraper Bhurj Khalifa in Dubai standing tallest since 2008 with a height of 828 m. Consider the given variation of atmospheric condition with altitude. The characteristic gas constant for atmospheric air can be considered as 287 J / kg-­KCorrect answer is 'Range: 91 to 92'. Can you explain this answer?
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Treating the atmospheric air to be an ideal gas, what shall be the atmospheric pressure (in kPa) at the top of the skyscraper Bhurj Khalifa in Dubai standing tallest since 2008 with a height of 828 m. Consider the given variation of atmospheric condition with altitude. The characteristic gas constant for atmospheric air can be considered as 287 J / kg-­KCorrect answer is 'Range: 91 to 92'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Treating the atmospheric air to be an ideal gas, what shall be the atmospheric pressure (in kPa) at the top of the skyscraper Bhurj Khalifa in Dubai standing tallest since 2008 with a height of 828 m. Consider the given variation of atmospheric condition with altitude. The characteristic gas constant for atmospheric air can be considered as 287 J / kg-­KCorrect answer is 'Range: 91 to 92'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Treating the atmospheric air to be an ideal gas, what shall be the atmospheric pressure (in kPa) at the top of the skyscraper Bhurj Khalifa in Dubai standing tallest since 2008 with a height of 828 m. Consider the given variation of atmospheric condition with altitude. The characteristic gas constant for atmospheric air can be considered as 287 J / kg-­KCorrect answer is 'Range: 91 to 92'. Can you explain this answer?.
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