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Q.Low concentration of oxygen in the blood and tissues of people living at high altitude is due to : (A) high atmospheric pressure (B) low temperature (C) low atmospheric pressure (D) both low temperature and high atmospheric pressure

CBSECBSE Class XII Board 2023MCQ· 1mImportance★★★★★
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Henry’s Law states that the solubility of a gas in a liquid is directly proportional to its partial pressure. At high altitude, low atmospheric pressure reduces the partial pressure of oxygen, lowering its concentration in blood and tissues. The correct answer is (C).

Why Henry’s Law is the key

The question is about oxygen concentration in blood — not about how much oxygen is in the air, but how much dissolves into the bloodstream. That’s governed by Henry’s Law, which describes the solubility of a gas in a liquid.

C=kH⋅PC = k_H \cdot P

where CC is the concentration of dissolved gas, kHk_H is Henry’s constant (depends on the gas and temperature), and PP is the partial pressure of the gas above the liquid.

For oxygen in blood, kHk_H is fixed at body temperature. So the concentration of dissolved oxygen depends only on the partial pressure of oxygen in the air you breathe.

Step-by-step reasoning

  1. At sea level, atmospheric pressure is about 1 atm. Oxygen makes up ~21% of air, so its partial pressure is PO2≈0.21×1=0.21P_{O_2} \approx 0.21 \times 1 = 0.21 atm. Henry’s Law then gives a normal dissolved oxygen concentration in blood.

  2. At high altitude (e.g., 3000–5000 m), total atmospheric pressure drops significantly — to about 0.7 atm at 3000 m, and even lower higher up. The fraction of oxygen in air stays 21%, but the partial pressure becomes PO2≈0.21×0.7=0.147P_{O_2} \approx 0.21 \times 0.7 = 0.147 atm.

  3. Applying Henry’s Law: Since C=kH⋅PO2C = k_H \cdot P_{O_2}, a lower PO2P_{O_2} directly gives a lower CC. That’s why people at high altitude have low oxygen concentration in blood and tissues — not because the air has less oxygen percentage, but because the lower total pressure reduces oxygen’s partial pressure.

  4. Check the options:

    • (A) High atmospheric pressure — Wrong. High pressure would increase oxygen solubility, not decrease it.
    • (B) Low temperature — Temperature affects kHk_H (solubility increases as temperature drops), but the primary cause at altitude is pressure, not temperature. Also, high-altitude temperatures are lower, which would slightly increase solubility — opposite to the observed effect.
    • (C) Low atmospheric pressure — Correct. This reduces PO2P_{O_2}, lowering dissolved oxygen.
    • (D) Both low temperature and high atmospheric pressure — Wrong on both counts.
Watch out

A common mistake is to think that “low oxygen in air” means the percentage of oxygen drops at altitude. It doesn’t — the percentage stays ~21%. What drops is the total pressure, and therefore the partial pressure. Always apply Henry’s Law: solubility depends on partial pressure, not mole fraction alone.

Tip

For exam problems, remember: Henry’s Law is the go-to whenever a question links gas concentration in a liquid to altitude, depth (scuba diving), or carbonated drinks. The constant kHk_H is temperature-dependent, but unless the problem mentions temperature change, assume it’s fixed.

✓Final answer

The correct option is (C) low atmospheric pressure.

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