The deviation from the ideal gas behaviour of a gas can be expressed as

Options

A. `Z = (P)/(VRT)`
B. `Z = (PV)/(nRT)`
C. `Z = (nRT)/(PV)`
D. `Z = (VR)/(PT)`

Explanation

To express the deviation from the ideal gas behavior of a gas, we can follow these steps:

### Step 1: Understand the Ideal Gas Law
The ideal gas law is given by the equation:
\[ PV = nRT \]
where:
- \( P \) = pressure of the gas
- \( V \) = volume of the gas
- \( n \) = number of moles of the gas
- \( R \) = universal gas constant
- \( T \) = temperature of the gas in Kelvin

### Step 2: Define the Compressibility Factor (Z)
The compressibility factor (Z) is defined as:
\[ Z = \frac{PV}{nRT} \]
This factor helps to quantify how much a real gas deviates from ideal gas behavior.

### Step 3: Analyze the Value of Z
- If \( Z = 1 \): The gas behaves ideally.
- If \( Z > 1 \): The gas shows positive deviation from ideal behavior (e.g., hydrogen, helium).
- If \( Z < 1 \): The gas shows negative deviation from ideal behavior (e.g., ammonia, carbon monoxide).

### Step 4: Conclusion
The deviation from ideal gas behavior can be expressed using the compressibility factor \( Z \). The value of \( Z \) indicates whether the gas behaves ideally or deviates from ideal behavior.

### Final Answer:
The deviation from the ideal gas behavior of a gas can be expressed as the compressibility factor \( Z = \frac{PV}{nRT} \).

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