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The height at which the atmosphere cases to exist is about 80km. If the atmospheric pre...


Question

The height at which the atmosphere cases to exist is about 80km. If the atmospheric pressure on the ground level is 760mmHg, the pressure at a height of 20km above the ground level is

(ρm = 13.6g/cm\(^3\) ρ = 0.00013g/cm\(^3\) )

Options

A) 380mmHg

B) 570mmHg

C) 190mmHg

D) 480mmHg

The correct answer is B.

Explanation:

ρ\(_m\)h\(_m\) = ρ\(_a\)h\(_a\)
13.68(760 - p) × 10\(^{-3}\) = 13 × 10\(^{-5}\)(20 × 10\(^3\))

760-p=13 × 10\(^{-5}\) × 20 × 10\(^{3}\)
13.68 × 10\(^{-3}\)
=19.00×10\(^{1}\)

760 - p = 190
p = 760 - 190 = 570mmHg


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Dicussion (1)

  • ρ\(_m\)h\(_m\) = ρ\(_a\)h\(_a\)
    13.68(760 - p) × 10\(^{-3}\) = 13 × 10\(^{-5}\)(20 × 10\(^3\))

    760-p=13 × 10\(^{-5}\) × 20 × 10\(^{3}\)
    13.68 × 10\(^{-3}\)
    =19.00×10\(^{1}\)

    760 - p = 190
    p = 760 - 190 = 570mmHg

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