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# At Boyle’s temperature, compressibility factor Z for a real gas is:A. 1B. 0 C. \[ > 1\]  D. \[ < 1\]

Last updated date: 25th Jun 2024
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Hint: The temperature at which the real gas or non-ideal gas behaves like an ideal gas over a wide range of pressure, is known as Boyle’s temperature. At this temperature, the attractive and repulsive forces acting on the gas particles arrive at a balance for a real gas.

An ideal gas is defined as a gas that obeys gas laws at all conditions of temperature and pressure. Ideal gases have velocity and mass but they do not have volume whereas a real gas is defined as a gas that does not obey gas laws at all standard temperature and pressure conditions.
Now, at Boyle’s temperature, real gases behave like ideal gases and compressibility factor is. It is a correction factor that describes the deviation of a real gas from ideal gas behavior.
Further, it is simply defined as the ratio of the molar volume of a gas to the molar volume of an ideal gas at the same temperature and pressure. It is a useful thermodynamic property for modifying the ideal gas law to account for real gas behavior.
Some of the limitations of Boyle’s law are listed below:
It holds good only for the ideal gases
It holds good when the temperature is constant.
It is more preferable for the sample of ideal gas that has constant mass.

Hence, option A is correct.

Note:
The compressibility factor should not be confused with the compressibility (also known as coefficient of compressibility or isothermal compressibility) of a material which is the measure of the relative volume change of a fluid or solid in response to a pressure change.