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Which of the following statements regard...

Which of the following statements regarding van der Waals' constants a and b is not correct?

A. The constant a is a measure of van der Waals' forces.
B. A gas with a lower value of a possesses a greater tendency to get liquefied.
C. b is a measure of effective size of molecules.
D .b is the excluded volume per mole.

A

The constant a is a measure of van der Waals' forces.

B

A gas with a lower value of a possesses a greater tendency to get liquefied.

C

b is a measure of effective size of molecules.

D

b is the excluded volume per mole.

Text Solution

AI Generated Solution

The correct Answer is:
To determine which statement regarding van der Waals' constants a and b is not correct, we will analyze each statement one by one based on the principles of van der Waals' equation. ### Step-by-Step Solution: 1. **Understanding van der Waals' Equation**: The van der Waals equation for real gases is given by: \[ \left( P + \frac{a n^2}{V^2} \right)(V - nb) = nRT \] Here, \( P \) is pressure, \( V \) is volume, \( n \) is the number of moles, \( R \) is the gas constant, \( T \) is temperature, \( a \) is a constant that accounts for the attractive forces between molecules, and \( b \) is a constant that accounts for the volume occupied by the gas molecules. 2. **Analyzing Statement A**: - **Statement A**: "The constant a is a measure of van der Waals' forces." - **Analysis**: This statement is correct. The constant \( a \) represents the strength of the attractive forces between gas molecules. 3. **Analyzing Statement B**: - **Statement B**: "A gas with a lower value of a possesses a greater tendency to get liquefied." - **Analysis**: This statement is incorrect. A lower value of \( a \) indicates weaker intermolecular forces, which means that the gas is less likely to be liquefied. Therefore, this statement is not true. 4. **Analyzing Statement C**: - **Statement C**: "b is a measure of effective size of molecules." - **Analysis**: This statement is correct. The constant \( b \) represents the volume occupied by the gas molecules, which is related to their effective size. 5. **Analyzing Statement D**: - **Statement D**: "b is the excluded volume per mole." - **Analysis**: This statement is also correct. The constant \( b \) accounts for the volume that is excluded due to the finite size of the gas molecules. 6. **Conclusion**: - The only incorrect statement among the options provided is **Statement B**. Therefore, the answer to the question is **B**. ### Final Answer: **B. A gas with a lower value of a possesses a greater tendency to get liquefied.** (This statement is not correct.)

To determine which statement regarding van der Waals' constants a and b is not correct, we will analyze each statement one by one based on the principles of van der Waals' equation. ### Step-by-Step Solution: 1. **Understanding van der Waals' Equation**: The van der Waals equation for real gases is given by: \[ \left( P + \frac{a n^2}{V^2} \right)(V - nb) = nRT ...
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ICSE-STATES OF MATTER : GASES AND LIQUIDS-OBJECTIVE (MULTIPLE CHOICE) TYPE QUESTIONS
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  2. A real gas behaves like an ideal gas if its

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  12. For a given mass of a gas, if pressure is reduced to half and temperat...

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  14. X mL of H(2) gas effuses through a hole in a container in 5 seconds. T...

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  15. According to Graham's law, at a given temperature the ratio of diffusi...

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