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If O2 gas is bubbled through water at 303 K, the number of millimoles of O2 gas that dissolve in 1 litre of water is _________. (Nearest integer)
(Given: Henry's Law constant for O2 at 303 K is 46.82 k bar and partial pressure of O2 = 0.920 bar)
(Assume solubility of O2 in water is too small, nearly negligible)
Correct answer is '1'. Can you explain this answer?
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Henry's Law:
Henry's Law states that the amount of gas dissolved in a liquid is directly proportional to the partial pressure of the gas above the liquid. Mathematically, it can be represented as:
\[ C = k \times P \]
Where:
- C is the concentration of the gas in the solution
- k is the Henry's Law constant
- P is the partial pressure of the gas

Calculating the Concentration of O2 in Water:
Given:
- Henry's Law constant (k) for O2 at 303 K is 46.82 k bar
- Partial pressure of O2 (P) = 0.920 bar
Using Henry's Law equation:
\[ C = 46.82 \times 0.920 \]
\[ C = 43.06 \text{ mmol/L} \]

Rounding off:
Since the solubility of O2 in water is considered to be very small and nearly negligible, we can round off the concentration to the nearest integer.
\[ 43.06 \approx 43 \text{ mmol/L} \]
Therefore, the number of millimoles of O2 gas that dissolve in 1 litre of water at 303 K when O2 gas is bubbled through it is 43 mmol/L, which rounds off to 1 when considering the negligible solubility of O2 in water.
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If O2gas is bubbled through water at 303 K, the number of millimoles of O2gas that dissolve in 1 litre of water is _________. (Nearest integer)(Given: Henrys Law constant for O2at 303 K is 46.82 k bar and partial pressure of O2= 0.920 bar)(Assume solubility of O2in water is too small, nearly negligible)Correct answer is '1'. Can you explain this answer?
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