At low pressures, the van der Waals equation is written as `[P+(a)/(V^(2))]V=RT`
The compressibility factor is then equal to

Options

A. `(1-(a)/(RTV))`
B. `(1-(RTV)/(a))`
C. `(1+(a)/(RTV))`
D. `(1+(RTV)/(a))`

Explanation

To find the compressibility factor (Z) 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 at low pressures is given as:
\[ [P + \frac{a}{V^2}] V = RT \]

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