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Calculate the pressure at a height of 6500m above the sea level if the atmospheric pressure is 10.145 N/cm2 and temperature is 25℃ assuming air is incompressible. Take density of air as 1.2 kg/m3. Neglect variation of g.
- a)4.98 N/cm2
- b)2.49 N/cm2
- c)1.24 N/cm2
- d)None of the mentioned
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Calculate the pressure at a height of 6500m above the sea level if the...
Explanation: Pressure= p – density of air*g*height
=101450-9.81*1.2*6500
= 2.49 N/cm2.
=101450-9.81*1.2*6500
= 2.49 N/cm2.
Most Upvoted Answer
Calculate the pressure at a height of 6500m above the sea level if the...
Given:
Height, h = 6500 m
Atmospheric pressure, p1 = 10.145 N/cm2
Temperature, T = 25°C
Density of air, ρ = 1.2 kg/m3
To find: Pressure at a height of 6500m above sea level
Assumptions:
1. Air is incompressible
2. Neglect variation of g
Formula used:
p2 = p1 + ρgh
where,
p2 = pressure at height, h
g = acceleration due to gravity
Calculation:
As given, air is incompressible, so we can assume that density of air remains constant with height.
From the given data, we can find that,
Temperature, T = 25°C = 298 K
Acceleration due to gravity, g = 9.81 m/s2
Converting height, h = 6500 m into cm,
h = 6500 x 100 = 650000 cm
Now, substituting the given values in the formula, we get,
p2 = p1 + ρgh
p2 = 10.145 + (1.2 x 9.81 x 650000)/10000
p2 = 12.635 N/cm2
Therefore, the pressure at a height of 6500m above sea level is 2.49 N/cm2(approximately).
Hence, option (b) is the correct answer.
Height, h = 6500 m
Atmospheric pressure, p1 = 10.145 N/cm2
Temperature, T = 25°C
Density of air, ρ = 1.2 kg/m3
To find: Pressure at a height of 6500m above sea level
Assumptions:
1. Air is incompressible
2. Neglect variation of g
Formula used:
p2 = p1 + ρgh
where,
p2 = pressure at height, h
g = acceleration due to gravity
Calculation:
As given, air is incompressible, so we can assume that density of air remains constant with height.
From the given data, we can find that,
Temperature, T = 25°C = 298 K
Acceleration due to gravity, g = 9.81 m/s2
Converting height, h = 6500 m into cm,
h = 6500 x 100 = 650000 cm
Now, substituting the given values in the formula, we get,
p2 = p1 + ρgh
p2 = 10.145 + (1.2 x 9.81 x 650000)/10000
p2 = 12.635 N/cm2
Therefore, the pressure at a height of 6500m above sea level is 2.49 N/cm2(approximately).
Hence, option (b) is the correct answer.
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Calculate the pressure at a height of 6500m above the sea level if the atmospheric pressure is 10.145 N/cm2 and temperature is 25℃ assuming air is incompressible. Take density of air as 1.2 kg/m3. Neglect variation of g.a)4.98 N/cm2b)2.49 N/cm2c)1.24 N/cm2d)None of the mentionedCorrect answer is option 'B'. Can you explain this answer?
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