The van der Waals equation for one mol of `CO_(2)` gas at low pressure will be

Options

A. `(P+(a)/(V^(2)))V=RT`
B. `P(V-b)=RT-(a)/(V^(2))`
C. `P=(RT)/(V-b)`
D. `P=((RT)/(V-b)-(a)/(V^(2)))`

Explanation

To derive the van der Waals equation for one mole of \( CO_2 \) gas at low pressure, we will follow these steps:

### Step 1: Write the van der Waals equation for n moles
The van der Waals equation for n moles of a gas is given by:

\[ \left( P + \frac{a n^2}{V^2} \right) (V - nb) = nRT \]
...