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A small village is located at an altitude of 2000 m above sea level. The barometric pressure at sea level is 1013 hPa. Assuming air density decreases with altitude such that pressure drops by 10 % for every 500 m rise, estimate the barometric pressure in the village. (Round to nearest hPa).

hard 3 marks Class 6 · Science · Air Around Us
Answer
665 hPa

The correct answer is 665 hPa — Round to nearest hPa: 665 hPa.

Step-by-step solution

  1. Determine how many 500 m intervals are in 2000 m: 2000/500 = 4 intervals.
  2. Compute cumulative pressure factor: (0.9)^4 ≈ 0.6561.
  3. Multiply by sea‑level pressure: 0.6561 × 1013 ≈ 664.7 hPa.
  4. Round to nearest hPa: 665 hPa.
Common mistake: Adding percentages instead of multiplying

Concept tested: Pressure decrease with altitude

Published · How this solution was prepared and checked

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