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Liquefaction of Gases and Critical Constants

In the graph ...

Question

In the graph of Z vs P for a given gas, which of the following is incorrect?

A

At

T > T_{C}

, the gas is less compressible than ideal gas at all pressure

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B

At

T = T_{C}

, the gas is more compressible than ideal gas at low pressure

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C

At

T = T_{B}

, the gas follow Boyle's law at low pressure

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D

At

T > T_{B}

, the gas is less compressible than ideal gas at low pressure

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Solution

The correct option is A At $T > T_{C}$ , the gas is less compressible than ideal gas at all pressure
When the temperature of a gas is more than critical temperature, it is less compressible than ideal gas at all pressures. This is because the value of z is more than 1 and the real gas occupies larger volume than ideal gas.

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Similar questions

Q. At moderate pressure, the compressibility factor for a particular gas is given by:

z = 1 + 0.34 p - \frac{160 p}{T}

(p in bar and T in kelvin)
What is the Boyle's temperature of this gas?

Q. Boyle's temperature or Boyle point is the temperature at which a real gas starts behaving like an ideal gas over a particular range of pressure. A graph is plotted between compressibility factor

Z

P

.
What is the deviation of real gas from ideal behaviour in terms of compressibility factor,

Z

?

Q. Assertion :At Boyle's temperature, the compressibility factors of a gas approaches unity. Reason: At Boyle's temperature the real gases obey ideal gas laws.

Q. The sketch shows the plot of Z vs P for 1 mole of a hypothetical gas at three distinct
temperatures:

Boyle's temperature is the temperature at which a gas shows ideal behaviour over a
pressure range in the low pressure region. Boyle's temperature

(T_{b}) = \frac{a}{R b}

. If a plot is
obtained at temperatures well below Boyle's temperature, then the curve will show a negative deviation in the low pressure region and a positive deviation in the high pressure
region.

Which of the following is correct?

Q. If the temperature of the gas is lower than Boyle's temperature,

T_{B}

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Liquefaction of Gases and Critical Constants

Standard XII Chemistry

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