If `O_(2)` gas is bubbled through water at 293 K, how many millimoles of `O_(2)` gas would dissolve in 1 litre of water? Assume that the partial pressure of `O_(2)` is 0.987 bar. Given that Henry's law constant for `O_(2)` at 293K is 34.86 kbar.

Explanation

To solve the problem of how many millimoles of \( O_2 \) gas would dissolve in 1 liter of water at 293 K, we will use Henry's law. Here’s a step-by-step solution:

### Step 1: Understand the Given Data
- Partial pressure of \( O_2 \) (\( P \)) = 0.987 bar
- Henry's law constant for \( O_2 \) at 293 K (\( k_H \)) = 34.86 kbar = 34860 bar
- Volume of water = 1 liter

### Step 2: Apply Henry's Law
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