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Which of the following is a character of...

Which of the following is a character of a gas at Boyle temperature?

A

the effects of the repusive and attractive intermolecular forces just offset each other

B

the repulsive intermolecular forces ar stronger than the attractive intermolecular forces

C

the repulsive intermolecular forces ar weaker than the attractive intermolecular forces

D

`b-(a)/(RT)gt0`

Text Solution

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The correct Answer is:
To solve the question regarding the characteristics of a gas at Boyle's temperature, we need to understand the concept of Boyle's temperature and how gases behave under these conditions. ### Step-by-Step Solution: 1. **Understanding Boyle's Temperature**: - Boyle's temperature is a specific temperature at which a real gas behaves like an ideal gas. This occurs because the effects of intermolecular forces (both attractive and repulsive) become negligible. 2. **Behavior of Real Gases**: - At Boyle's temperature, the repulsive and attractive forces between gas molecules balance each other out. This means that the gas will follow the ideal gas law more closely than it would at other temperatures. 3. **Ideal Gas Law**: - The ideal gas law is given by the equation \( PV = nRT \), where \( P \) is pressure, \( V \) is volume, \( n \) is the number of moles, \( R \) is the ideal gas constant, and \( T \) is temperature. At Boyle's temperature, deviations from this law are minimized. 4. **Conclusion**: - Therefore, the characteristic of a gas at Boyle's temperature is that it behaves like an ideal gas. This means that the gas will exhibit properties such as a linear relationship between pressure and volume, as described by Boyle's law (\( P \propto \frac{1}{V} \) at constant temperature). ### Final Answer: At Boyle's temperature, a real gas behaves like an ideal gas.

To solve the question regarding the characteristics of a gas at Boyle's temperature, we need to understand the concept of Boyle's temperature and how gases behave under these conditions. ### Step-by-Step Solution: 1. **Understanding Boyle's Temperature**: - Boyle's temperature is a specific temperature at which a real gas behaves like an ideal gas. This occurs because the effects of intermolecular forces (both attractive and repulsive) become negligible. 2. **Behavior of Real Gases**: ...
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