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

JAMB 2001

The height at which the atmosphere ceases 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

A. 380mmHg
B. 570mmHg
C. 190mmHg
D. 480mmHg

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Correct Answer: Option B

Explanation

(p - 760)/(0 - 760) = (h - 0)/(80 - 0)
∴ (p - 760)/-760 = (20 - 0)/80
80(p-760) = -760(20-0)
∴80p - 60800 = -15200
80p = 60800 - 15200
80p = 45600
∴ p = 45600/80
p = 570mmHg

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