Acompany dissolves 'x' amount of `CO_2` at 298 K in 1 litre of water to prepare soda water. X = _________`xx10^(-3)` g. (nearest integer)
(Given: partial pressure of `CO_2` at 298 K = 0.835 bar.
Henry's law constant for `CO_2` at 298K = 1.67 kbar.
Atomic mass of H, C and O is 1, 12, and 6 g `"mol"^(-1)`, respectively)

Explanation

To solve the problem of how much \( CO_2 \) can be dissolved in 1 liter of water at 298 K, we will use Henry's Law, which states that the concentration of a gas in a liquid is proportional to the partial pressure of that gas above the liquid.

### Step-by-Step Solution:

1. **Identify Given Values:**
- Partial pressure of \( CO_2 \) at 298 K, \( P_{CO_2} = 0.835 \, \text{bar} \)
- Henry's law constant for \( CO_2 \) at 298 K, \( k_H = 1.67 \, \text{kbar} \) (which is equivalent to \( 167 \, \text{bar} \))
- Molar mass of \( CO_2 \):
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