Compressibility factor of a gas is given by the equation Z=PVnRT. On this basis, mark the correct statement.

Compressibility factor of a gas is given by,Z=PVnRTFor ideal gas, PV = nRTHence the value of compressibility factor Z will be equal to 1.For real gases the equation, PV = nRT cannot be true. Hence Z cannot be equal to one. Z for real gases will be less than one or greater than one.When Z 1, the gas becomes less compressible.Let us look into the options given.Option a says that when Z>1, real gases get compressed easily. This statement is wrong as we discussed. When Z>1, real gases are easy to compress. Because at this condition the molecular attraction dominates which favours compression. Hence Option a is wrong.Option b says that when Z=1, real gases get compressed easily. For real gases Z is not equal to one. Hence this statement is wrong.Option c says that when Z>1, real gases are difficult to compress. This statement is correct.When Z>1, the gas becomes less compressible. The reason for this is that when Z>1, the forces of attraction between the molecules is weak. The attraction should be strong for compression to happen.Option d says that when Z=1, real gases are difficult to compress. Real gases cannot have the value of Z as one. Hence this statement is also wrong.Hence the correct option is C.

Compressibility factor of a gas is given by the equation Z=PVnRT. On this basis, mark the correct statement.

Compressibility factor of a gas is given by,Z=PVnRTFor ideal gas, PV = nRTHence the value of compressibility factor Z will be equal to 1.For real gases the equation, PV = nRT cannot be true. Hence Z cannot be equal to one. Z for real gases will be less than one or greater than one.When Z 1, the gas becomes less compressible.Let us look into the options given.Option a says that when Z>1, real gases get compressed easily. This statement is wrong as we discussed. When Z>1, real gases are easy to compress. Because at this condition the molecular attraction dominates which favours compression. Hence Option a is wrong.Option b says that when Z=1, real gases get compressed easily. For real gases Z is not equal to one. Hence this statement is wrong.Option c says that when Z>1, real gases are difficult to compress. This statement is correct.When Z>1, the gas becomes less compressible. The reason for this is that when Z>1, the forces of attraction between the molecules is weak. The attraction should be strong for compression to happen.Option d says that when Z=1, real gases are difficult to compress. Real gases cannot have the value of Z as one. Hence this statement is also wrong.Hence the correct option is C.

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Compressibility factor of a gas is given by the equation $Z = \frac{PV}{nRT}$ . On this basis, mark the correct statement.

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When Z > 1, real gases get compressed easily.

When Z = 1, real gases are difficult to compress.

When Z = 1 real gases get compressed easily.

When Z > 1, real gases are difficult to compress.

answer is C.

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Detailed Solution

Compressibility factor of a gas is given by,
$Z = \frac{PV}{nRT}$
For ideal gas, PV = nRT
Hence the value of compressibility factor Z will be equal to 1.
For real gases the equation, PV = nRT cannot be true.
Hence Z cannot be equal to one. Z for real gases will be less than one or greater than one.
When Z<1, the gas becomes more compressible and when Z>1, the gas becomes less compressible.
Let us look into the options given.
Option a says that when Z>1, real gases get compressed easily. This statement is wrong as we discussed.
When Z>1, real gases are easy to compress. Because at this condition the molecular attraction dominates which favours compression. Hence Option a is wrong.
Option b says that when Z=1, real gases get compressed easily.
For real gases Z is not equal to one. Hence this statement is wrong.
Option c says that when Z>1, real gases are difficult to compress. This statement is correct.
When Z>1, the gas becomes less compressible. The reason for this is that when Z>1, the forces of attraction between the molecules is weak.
The attraction should be strong for compression to happen.
Option d says that when Z=1, real gases are difficult to compress.
Real gases cannot have the value of Z as one. Hence this statement is also wrong.
Hence the correct option is C.