Gaseous States Test

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Gaseous States Test - 5

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Weekly Quiz Competition

Question 1
1 / -0

Rate of diffusion of a gas is

A
directly proportional to its density

B
directly proportional to its molecular mass

C
directly proportional to the square of its molecular mass

D
inversely proportional to the square root of its molecular mass

Solution

Rate of diffusion of a gas is inversely proportional to the square root of its molecular mass.

r ∝ 1/M
Question 2
1 / -0

In van der Waals equation for a non-ideal gas, the term that accounts for intermolecular force is :

A
(V−b)

B

C
RT

D
PV

Solution

In van der waals equation for a non-ideal gas, the term that accounts for intermolecular force is :

(P + a/V₂)

Since vander waals equation of state is (P + a/V₂) (V−b) = RT.
Question 3
1 / -0

Absolute zero is defined as the temperature

A
at which all molecular motion ceases

B
at which liquid helium boils

C
at which ether boils

D
All of the above

Solution

At absolute zero temperature, the entropy of substance becomes zero, it means that all the molecular motions are stopped or ceased.
Question 4
1 / -0

The average K.E. of an ideal gas in calories per mole is approximately equal to

A
Three times the absolute temperature

B
Absolute temperature

C
Two times the absolute temperature

D
1.5 times the absolute temperature

Solution

Three times the absolute temperature

K.E = 3/2. RT = 3/2. 2T ∵ R ≈ 2calK⁻¹mol⁻¹

K.E. = 3T
Question 5
1 / -0

When an ideal gas undergoes unrestrained expansion, no cooling occurs because the molecules:

A
Are above the inversion temperature

B
Exert no attractive forces on each other

C
Do work equal to the loss in kinetic energy

D
Collide without loss of energy

Solution

In ideal gas, no work is required to tear apart the molecules due to the absence of attractive forces in an ideal gas. Hence when any ideal gas undergoes unrestrained expansion, no cooling occurs.
Question 6
1 / -0

Select one correct statement. In the gas equation, PV=nRT

A
n is the number of molecules of a gas.

B
n moles of the gas have a volume V.

C
V denotes volume of one mole of the gas.

D
P is the pressure if the gas when only one mole of gas is present.

Solution

PV = nRT

where P= pressure of the gas;

V=volume of the gas;

n= Number of Moles;

T=Absolute temperature;

R=Ideal Gas constant also known as Boltzmann Constant = 0.082057 L atm K⁻¹ mol⁻¹.

Here V ∝ n

Hence, V is the volume of n moles of gas
Question 7
1 / -0

Pressure remaining the same, the volume of a given mass of an ideal gas increases for every degree centigrade rise in temperature by definite fraction of its volume at

A
°C

B
Its critical temperature

C
Absolute zero

D
Its Boyle temperature

Solution
Question 8
1 / -0

According to kinetic theory of gases, for a diatomic molecule

A
The pressure exerted by the gas is proportional to the mean velocity of the molecules

B
The pressure exerted by the gas is proportional to the root mean square velocity of the molecules.

C
The root mean square velocity is inversely proportional to the temperature.

D
The mean transitional kinetic energy of the molecules is proportional to the absolute temperature.

Solution

As we know,

KE = 3/2 RT so

KE ∝ T

means, mean transitional kinetic energy of the molecules is proportional to the absolute temperature.
Question 9
1 / -0

Which of the following gases will have the highest rate of diffusion?

A
O₂

B
CO₂

C
NH₃

D
N₂

Solution

NH₃ has lesser molecular mass than the above gases, so the rate of diffusion of NH₃ is higher. This is according to the Graham's law of Diffusion of gases.
Question 10
1 / -0

5 gram each of the following gases at 87^∘C and 750 mm pressure is taken. Which of them will have the least volume?

A
HF

B
HCl

C
HBr

D
HI

Solution

From Ideal gas law,

The gas with maximum molecular weight will have minimum volume.

HI has the maximum molecular weight, hence has the least volume.

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Gaseous States Test - 5

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Question 1

directly proportional to its density

directly proportional to its molecular mass

directly proportional to the square of its molecular mass

inversely proportional to the square root of its molecular mass

Solution

Question 2

(V−b)

RT

PV

Solution

Question 3

at which all molecular motion ceases

at which liquid helium boils

at which ether boils

All of the above

Solution

Question 4

Three times the absolute temperature

Absolute temperature

Two times the absolute temperature

1.5 times the absolute temperature

Solution

Question 5

Are above the inversion temperature

Exert no attractive forces on each other

Do work equal to the loss in kinetic energy

Collide without loss of energy

Solution

Question 6

n is the number of molecules of a gas.

n moles of the gas have a volume V.

V denotes volume of one mole of the gas.

P is the pressure if the gas when only one mole of gas is present.

Solution

Question 7

°C

Its critical temperature

Absolute zero

Its Boyle temperature

Solution

Question 8

The pressure exerted by the gas is proportional to the mean velocity of the molecules

The pressure exerted by the gas is proportional to the root mean square velocity of the molecules.

The root mean square velocity is inversely proportional to the temperature.

The mean transitional kinetic energy of the molecules is proportional to the absolute temperature.

Solution

Question 9

O2​

CO2

NH3

N2

Solution

Question 10

HF

HCl

HBr

HI

Solution

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O₂

CO₂

NH₃

N₂