A gas is said to behave like an ideal gas when relation PV T = constant. When do you expect real gas to behave like an ideal gas?

When the temperature is high and pressure is low.

When both the temperature and pressure are low.

When both the temperature and pressure are high.

A gas is said to behave like an ideal gas when relation PV T = constant. When do you expect real gas to behave like an ideal gas?

When the temperature is high and pressure is low.

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A gas is said to behave like an ideal gas when relation $\frac{PV}{T} =$ constant. When do you expect real gas to behave like an ideal gas?

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Important Questions on States of Matter

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Chemistry>Physical Chemistry>States of Matter>Behaviour of Real Gases

An open vessel at

27^{o} C

is heated until two fifth of the air (assumed as an ideal gas) in it has escaped from the vessel. Assuming that the volume of the vessel remains constant, the temperature to which the vessel has been heated is:

MEDIUM

Chemistry>Physical Chemistry>States of Matter>Behaviour of Real Gases

Gases deviate from ideal behaviour at high pressures because the gas molecules

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Chemistry>Physical Chemistry>States of Matter>Behaviour of Real Gases

A vertical closed cylinder is separated into two parts by a frictionless piston of mass

m

and of negligible thickness. The piston is free to move along the length of the cylinder. The length of the cylinder above piston is

l_{1},

and that below the piston is

l_{2},

such that

l_{1} > l_{2} .

Each part of the cylinder contains

n

moles of an ideal gas at equal temperature

T .

If the piston is stationary, its mass

m

will be given by:
(

R

is universal gas constant and

g

is the acceleration due to gravity)

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Chemistry>Physical Chemistry>States of Matter>Behaviour of Real Gases

An ideal gas filled in a cylinder occupies volume,

V

. The gas is compressed isothermally to the volume,

\frac{V}{3}

. Now the cylinder valve is opened and the gas is allowed to leak keeping the temperature the same. What percentage of the number of molecules escape to bring the pressure in the cylinder back to its original value.

EASY

Chemistry>Physical Chemistry>States of Matter>Behaviour of Real Gases

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

EASY

Chemistry>Physical Chemistry>States of Matter>Behaviour of Real Gases

The temperature of an open room of volume

30 m^{3}

increases from

17 ° C

27 ° C

due to the sunshine. The atmospheric pressure in the room remains

1 \times 10^{5} Pa

. If

n_{i}

and

n_{f}

are the number of molecules in the room before and after heating, then

n_{f} - n_{i}

will be:

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Chemistry>Physical Chemistry>States of Matter>Behaviour of Real Gases

The volume of gas $A$ is twice than that of gas $B$ . The compressibility factor of gas $A$ is thrice than that of gas $B$ at same temperature. What are the pressures of the gases for equal number of moles?

HARD

Chemistry>Physical Chemistry>States of Matter>Behaviour of Real Gases

Two non-reactive monoatomic ideal gases have their atomic masses in the ratio 2 : 3. The ratio of their partial pressures, when enclosed in a vessel kept at a constant temperature, is 4 : 3. The ratio of their densities is

HARD

Chemistry>Physical Chemistry>States of Matter>Behaviour of Real Gases

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

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Chemistry>Physical Chemistry>States of Matter>Behaviour of Real Gases

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>Behaviour of Real Gases

One mole of an ideal gas undergoes a linear process as shown in the figure below. Its temperature expressed as a function of volume,

V

is-

EASY

Chemistry>Physical Chemistry>States of Matter>Behaviour of Real Gases

Among the following, the incorrect statement is:

EASY

Chemistry>Physical Chemistry>States of Matter>Behaviour of Real Gases

10 moles of a mixture of hydrogen and oxygen gases at a pressure of 1 atm at a constant volume and temperature, react to form 3.6 g of liquid water. The pressure of the resulting mixture will be closest to:

EASY

Chemistry>Physical Chemistry>States of Matter>Behaviour of Real Gases

A given sample of an ideal gas occupies a volume,

V

at a pressure,

P

and absolute temperature,

T

. The mass of each molecule of the gas is

m

. Which of the following gives the density of the gas?

EASY

Chemistry>Physical Chemistry>States of Matter>Behaviour of Real Gases

A cylinder closed at both ends is separated into two equal parts (

45 cm

each) by a piston impermeable to heat. Both the parts contain the same masses of gas at a temperature of

300 K

and a pressure of

1 atm

. If now the gas in one of the parts is heated such that the piston shifts by

5 cm

, then the temperature and the pressure of the gas in this part after heating is

MEDIUM

Chemistry>Physical Chemistry>States of Matter>Behaviour of Real Gases

The average distance between molecules of an ideal gas at STP is approximately of the order of

HARD

Chemistry>Physical Chemistry>States of Matter>Behaviour of Real Gases

A long cylindrical pipe of radius $20 cm$ is closed at its upper end and has an airtight piston of negligible mass as shown. When $a$ $50 kg$ mass is attached to the other end of piston, it moves down by a distance, $Δ l$ before coming to equilibrium. Assuming air to be an ideal gas, $\frac{Δ l}{l}$ (see figure) is close to $(g = 10 m s^{- 2}$ , one atmospheric pressure is $10^{5} Pa$ ),

Question Image

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Chemistry>Physical Chemistry>States of Matter>Behaviour of Real Gases

The internal energy per mole of an ideal gas is denoted by

E_{ideal}

. The same for a real gas obeying van der Waals equation is

E_{real}

. Assuming the average kinetic energy of the molecules of the two gases at the same temperature to be equal, the correct statement for the gas at low pressure is

MEDIUM

Chemistry>Physical Chemistry>States of Matter>Behaviour of Real Gases

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

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Chemistry>Physical Chemistry>States of Matter>Behaviour of Real Gases

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

A gas is said to behave like an ideal gas when relation PVT=constant. When do you expect real gas to behave like an ideal gas?

Important Questions on States of Matter

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A gas is said to behave like an ideal gas when relation $\frac{PV}{T} =$ constant. When do you expect real gas to behave like an ideal gas?