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Which of the following is an expression for Boyle’s temperature?
- a)a/Rb
- b)27a/R
- c)a/b
- d)Ra/8b
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Which of the following is an expression for Boyle’s temperature?...
Boyle’s temperature Tb is given a/Rb, where a and b are the van der Waal’s constants for pressure and volume correction. The temperature till which a gas behaves like an ideal gas is Boyle’s temperature.
Most Upvoted Answer
Which of the following is an expression for Boyle’s temperature?...
Boyle's Temperature:
Boyle's temperature is represented by the expression: a/R. Let's break down the components of this expression:
- a: This represents the van der Waals constant, which is a measure of the attractive forces between gas molecules. It is specific to each gas and is used in the van der Waals equation to correct for the volume occupied by gas molecules.
- R: This represents the ideal gas constant, which is a universal constant that relates the energy of a gas to its temperature and pressure. It is commonly used in gas law equations such as the ideal gas law.
Explanation:
The expression for Boyle's temperature, a/R, is derived from the van der Waals equation, which is an improvement over the ideal gas law for real gases. Boyle's temperature is the temperature at which the attractive and repulsive forces between gas molecules are in equilibrium, resulting in the ideal behavior of the gas.
When the temperature is equal to Boyle's temperature, the gas behaves ideally, meaning that the volume occupied by gas molecules is negligible compared to the total volume of the gas. This is a critical concept in understanding the behavior of real gases and the deviations from ideal gas behavior.
Therefore, the expression a/R serves as a key parameter in determining Boyle's temperature for a given gas, providing insights into the intermolecular forces at play and the conditions under which the gas behaves ideally.
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Which of the following is an expression for Boyle’s temperature?a)a/Rbb)27a/Rc)a/bd)Ra/8bCorrect answer is option 'A'. Can you explain this answer?
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