# Question related pressure. From AS LEVEL Physics. What will be the answer?

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The density of air on the Earth decreases almost linearly with height from 1.22kgm–3 at sea level to 0.74 kgm–3 at an altitude of 5000m. Atmospheric pressure at the Earth’s surface on a particular day is 100000Pa. The value of g between the Earth’s surface and an altitude of 5000 m can be considered to have a constant

value of 9.7ms–2. What will be the atmospheric pressure at an altitude of 5000m?

The density of air on the Earth decreases almost linearly with height from 1.22kgm–3 at sea level to 0.74 kgm–3 at an altitude of 5000m. Atmospheric pressure at the Earth’s surface on a particular day is 100000Pa. The value of g between the Earth’s surface and an altitude of 5000 m can be considered to have a constant

value of 9.7ms–2. What will be the atmospheric pressure at an altitude of 5000m?

##### 2 Answers

I found:

#### Explanation:

Have a look:

In my solution for reasons unknown (to me at least!) I used

Using this given value in the formula for pressure you get:

Alternate solution using Barometric formula.

Please note that all the given quantities are not used.

#### Explanation:

The relationship between the atmospheric pressure, temperature, and height is given as

where

Inserting various values,