STATEMENT-1 : The gases He and `H_(2)` are very different in their behaviour at any temperature and pressure but their compressibility factors are nearly the same at the critical point.
STATEMENT-2 : They have nearly the same critical constant.

Options

A. If both the statement are TRUE and STATEMENT-2 is the correct explanation of STATEMENT-1
B. If both the statement are TRUE but STATEMENT-2 is NOT the correct explanation of STATEMENT-1
C. If STATEMENT-1 is TRUE and STATEMENT-2 is FALSE
D. If STATEMENT-1 is FALSE and STATEMENT-2 is TRUE

Answer

To solve the question, we need to analyze both statements and determine their validity and relationship.

### Step 1: Analyze Statement 1
**Statement 1:** The gases He and H₂ are very different in their behavior at any temperature and pressure, but their compressibility factors are nearly the same at the critical point.

- **Analysis:**
- Helium (He) and Hydrogen (H₂) are indeed different gases with distinct physical and chemical properties.
- At any given temperature and pressure, their behaviors (like diffusion rates, reactivity, etc.) differ significantly.
- However, at the critical point, both gases exhibit similar compressibility factors. The compressibility factor (Z) is a measure of how much a gas deviates from ideal gas behavior. At the critical point, gases tend to behave more similarly due to the nature of their intermolecular forces.

**Conclusion:** Statement 1 is true.

### Step 2: Analyze Statement 2
**Statement 2:** They have nearly the same critical constant.

- **Analysis:**
- The critical constants (critical temperature, critical pressure, and critical volume) are specific to each gas and reflect the conditions at which a gas can no longer be distinguished from its liquid phase.
- Helium and Hydrogen have different critical constants. For example, the critical temperature of Helium is around 5.2 K, while that of Hydrogen is about 33 K. This significant difference indicates that they do not have nearly the same critical constants.

**Conclusion:** Statement 2 is false.

### Step 3: Determine the Relationship Between the Statements
- Since Statement 1 is true and Statement 2 is false, we can conclude that the correct option is the third one: "Statement 1 is true and Statement 2 is false."

### Final Answer
The correct option is: **Third: Statement 1 is true and Statement 2 is false.**

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