Calculate the pressure exerted by one mole of `CO_(2)` gas at `273 K` van der Waals constant `a=3.592 dm^(6) atm mol^(-2)`. Assume that the volume occupied by `CO_(2)` molecules is negligible.

Explanation

To calculate the pressure exerted by one mole of \( CO_2 \) gas at \( 273 \, K \) using the van der Waals equation, we will follow these steps:

### Step 1: Write down the van der Waals equation
The van der Waals equation is given by:
\[ \left( P + \frac{a}{V^2} \right)(V - b) = nRT \]
Since we are assuming the volume occupied by \( CO_2 \) molecules is negligible, we can consider \( b \) to be 0. Thus, the equation simplifies to:
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