Consider the following table: Gas a / k P a d m 6 m o l - 1 b / d m 3 m o l - 1 A 642.32 0.05196 B 155.21 0.04136 C 431.91 0.05196 D 155.21 0.4382 a and b are vander Waals constants. The correct statement about the gases is:

Gas C will occupy more volume than gas A ; gas B will be more compressible than gas D

Gas C will occupy more volume than gas A ; gas B will be lesser compressible than gas D

Gas C will occupy lesser volume than gas A ; gas B will be lesser compressible than gas D

Gas C will occupy lesser volume than gas A ; gas B will be more compressible than gas D

Van der Waal's equation for a gas is stated as, P = nRT V - nb - a n V 2 . This equation reduces to the perfect gas equation, P = nRT V When,

temperature is sufficiently high and pressure is low.

both temperature and pressure are very low.

both temperature and pressure are very high.

temperature is sufficiently low and pressure is high.

EASY

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Which of the following are characteristics of a real gas?

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Important Questions on States of Matter : Gases and Liquids

EASY

Chemistry>Physical Chemistry>States of Matter : Gases and Liquids>Real Gas

Consider the following table:

Gas	$a / (k P a d m^{6} m o l^{- 1})$	$b / (d m^{3} m o l^{- 1})$
A	$642.32$	$0.05196$
B	$155.21$	$0.04136$
C	$431.91$	$0.05196$
D	$155.21$	$0.4382$

a

and

b

are vander Waals constants. The correct statement about the gases is:

EASY

Chemistry>Physical Chemistry>States of Matter : Gases and Liquids>Real Gas

A gas such as carbon monoxide would be most likely to obey the ideal gas law at:

EASY

Chemistry>Physical Chemistry>States of Matter : Gases and Liquids>Real Gas

At a given temperature

T,

gases

N e, A r, X e

and

K r

are found to deviate from ideal gas behaviour. Their equation of state is given as

p = \frac{R T}{V - b}

T .

Here,

b

is the van der Waals constant. Which gas will exhibit steepest increase in the plot of

Z

(compression factor) vs

p ?

HARD

Chemistry>Physical Chemistry>States of Matter : Gases and Liquids>Real Gas

Four gases

P, Q, R

and

S

have almost same values of

b

but their

a

values

(a & b

are van der Waal s' constant) are in the order

Q < R < S < P

. At a particular temperature, among the four gases, the most easily liquifiable one is

MEDIUM

Chemistry>Physical Chemistry>States of Matter : Gases and Liquids>Real Gas

When does a gas deviate the most from its ideal behavior?

MEDIUM

Chemistry>Physical Chemistry>States of Matter : Gases and Liquids>Real Gas

At low pressure, the Van der Waals equation is reduced to:

EASY

Chemistry>Physical Chemistry>States of Matter : Gases and Liquids>Real Gas

At very high pressures, the compressibility factor of one mole of a gas is given by:

EASY

Chemistry>Physical Chemistry>States of Matter : Gases and Liquids>Real Gas

Which of the following represents Van der Waals equation for

n

moles of the gas?

MEDIUM

Chemistry>Physical Chemistry>States of Matter : Gases and Liquids>Real Gas

The pressure

(p)

and volume

(V)

isotherm of a van der Waals' gas, at the temperature at which it undergoes gas to liquid transition, is correctly represented by

HARD

Chemistry>Physical Chemistry>States of Matter : Gases and Liquids>Real Gas

Van der Waal's equation for a gas is stated as,

P = \frac{nRT}{V - nb} - a {(\frac{n}{V})}^{2}

.

This equation reduces to the perfect gas equation,

P = \frac{nRT}{V}

When,

EASY

Chemistry>Physical Chemistry>States of Matter : Gases and Liquids>Real Gas

The maximum deviation from ideal gas behaviour among the following is expected from

MEDIUM

Chemistry>Physical Chemistry>States of Matter : Gases and Liquids>Real Gas

The variation of the compressibility factor $(Z)$ with pressure $(P in bar)$ for some gases, are shown in the figure below. Identify the gases $(A), (B)$ and $(C)$ .

Question Image

MEDIUM

Chemistry>Physical Chemistry>States of Matter : Gases and Liquids>Real Gas

The van der Waals constant

' a'

is the measure of intermolecular force of attraction in a gas. The correct decreasing order of

' a'

for the given set of molecules is

HARD

Chemistry>Physical Chemistry>States of Matter : Gases and Liquids>Real Gas

In thermodynamics, the $P - V$ work done is given by $w = - \int {dVP}_{ext}$ . For a system undergoing a particular process, the work done is,

$w = - \int dV (\frac{RT}{V - b} - \frac{a}{V^{2}})$ . This equation is applicable to a

HARD

Chemistry>Physical Chemistry>States of Matter : Gases and Liquids>Real Gas

Suppose that,

300 gm

C_{2} H_{6} (g)

is confined in a

5 L

container at

27^{o} C

. Calculate the pressure exerted by ethane from van der Waals equation of state?

a = 5.0 d m^{6} atm {mol}^{- 2}, b = 0.09 {dm}^{3} {mol}^{- 1}

MEDIUM

Chemistry>Physical Chemistry>States of Matter : Gases and Liquids>Real Gas

Which of the following gases has high Boyle's temperature?

EASY

Chemistry>Physical Chemistry>States of Matter : Gases and Liquids>Real Gas

For a van der Waals' gas, the term $(\frac{ab}{V^{2}})$ represents some

HARD

Chemistry>Physical Chemistry>States of Matter : Gases and Liquids>Real Gas

One mole of a monoatomic real gas satisfied the equation

p (V - b) = R T

where b is a constant. The relationship of interatomic potential V(r) and interatomic distance r for the gas is given by

HARD

Chemistry>Physical Chemistry>States of Matter : Gases and Liquids>Real Gas

Which one of the following plots is correct for the behaviour of ideal and real gases?

EASY

Chemistry>Physical Chemistry>States of Matter : Gases and Liquids>Real Gas

Among the following, the incorrect statement is:

Which of the following are characteristics of a real gas?

Important Questions on States of Matter : Gases and Liquids

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