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Assertion : Compressibility factor of id...

Assertion : Compressibility factor of ideal gases is one.
Reason : For ideal gases `pV=nRT` equation is obeyed.

A

Assertion and reason both are correct statements and reason is correct explanation for assertion.

B

Assertion and reason both are correct statements but reason is not correct explanation for assertion.

C

Assertion is correct statement but reason is wrong statement.

D

Assertion is wrong statement but reason is correct statement.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding the assertion and reason about the compressibility factor of ideal gases, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that the compressibility factor (Z) of ideal gases is one. - The compressibility factor is defined as \( Z = \frac{pV}{nRT} \), where \( p \) is the pressure, \( V \) is the volume, \( n \) is the number of moles, \( R \) is the universal gas constant, and \( T \) is the temperature. 2. **Analyzing the Ideal Gas Equation**: - The ideal gas law is given by the equation \( pV = nRT \). - This equation holds true for ideal gases under ideal conditions (high temperature and low pressure). 3. **Substituting in the Compressibility Factor Formula**: - If we substitute \( pV \) from the ideal gas equation into the compressibility factor formula: \[ Z = \frac{pV}{nRT} = \frac{nRT}{nRT} = 1 \] - This shows that for ideal gases, the compressibility factor \( Z \) is indeed equal to 1. 4. **Understanding the Reason**: - The reason states that the equation \( pV = nRT \) is obeyed for ideal gases. - Since the ideal gas law is the basis for defining the compressibility factor, this reason supports the assertion. 5. **Conclusion**: - Both the assertion and the reason are true. - The reason correctly explains why the assertion is true. ### Final Answer: - **Assertion**: True - **Reason**: True - **Explanation**: The reason is a correct explanation for the assertion.
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