Gaseous States Test

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Gaseous States Test - 7

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Weekly Quiz Competition

Question 1
1 / -0

At the same temperature and pressure which of the following gas will have highest KE per mole:

A
Hydrogen

B
Oxygen

C
Methane

D
All of the above

Solution

The average kinetic energy per mole of a gas is equal to 3/2 RT where T is the absolute temperature.

When the temperature is same, the average kinetic energy per mole will be same for hydrogen, oxygen and methane as the average kinetic energy per mole is independent of its molar mass.
Question 2
1 / -0

The correct value of the gas constant R is close to:

A
0.082 litre−atm K

B
0.082 litre−atm K⁻¹mol⁻¹

C
0.082 litre−atm⁻¹ K mol⁻¹

D
0.082 litre⁻¹atm⁻¹ K mol

Solution

The current value of R (gas constant) is close to =8.314 J/(mol−K)=0.082 lit−atm/(K−mol).
Question 3
1 / -0

The ratio between the root mean square speed of H₂ at 50 K and that of O₂at 800 K is:

A
4

B
2

C
1

D
1/4

Solution

As we know,
Question 4
1 / -0

An ideal gas obeying kinetic theory of gases can be liquefied, if :

A
Its temperature is more than critical temperature T_c

B
Its pressure is more than critical pressure P_c

C
Its pressure is more than P_c at a temperature less than T_c

D
It cannot be liquefied at any value of P and T

Solution

An ideal gas is defined to be a system in which there are no intermolecular/interatomic forces. Such a system can only exist as a gas. Any real system will approach ideal gas behavior in the limit that the pressure is extremely low and the temperature is high enough to overcome attractive intermolecular forces.

PV = nRT

Here, n= no of moles of gas

Ideal gas equation is a relation between four variables and it describes the state of any gas. For this reason, it is also called the Equation of State.

As ideal gas has no force of attraction and has negligible volume. Hence, it cannot be liquefied at any T and P.
Question 5
1 / -0

Which mixture of gases at room temperature does not obey Dalton's law of partial pressure?

A
O₂ and CO₂

B
NH₃ and HCl

C
CO and CO₂

D
SO₂ and SO₃

Solution

Dalton's law of partial pressure states that in a mixture of non-reacting gas, the total pressure exerted is equal to the sum of the partial pressure of the individual gases.

Since NH₃ and HCl are reacting gases, hence they don't obey Dalton's law of partial pressure.
Question 6
1 / -0

The compressibility factor for an ideal gas is

A
1.5

B
1.0

C
2.0

D
∞

Solution

pV/nRT = z (compressibility factor)

for an ideal gas, z = 1
Question 7
1 / -0

Vander Waal's constants ′a′ and ′b′ are related with..... respectively

A
Attractive force and bond energy of molecules

B
Volume and repulsive force of molecules

C
Shape and repulsive forces of molecules

D
Attractive force and volume of the molecules

Solution

Vander Waal's constants ′a′ and ′b′ are related with Attractive force and volume of the molecules respectively.
Question 8
1 / -0

Two separate bulbs contain ideal gases A and B. The density of gas is twice that of gas B. The molecular mass of gas A is half that of gas B. The two gases are at the same temperature. The ratio of pressure of A that of gas B is?

A
2

B
1/2

C
4

D
1/4

Solution

To find density :-(PM = DRT)

Now (D=PM)
Question 9
1 / -0

The temperature at which real gases obey the ideal gas law over a wide range of pressure is called:

A
critical temperature

B
Boyle's temperature

C
inversion temperature

D
reduced temperature

Solution

By definition, Boyle's temperature is a temperature at which the real gases obey the ideal gas equation through out a wide range of pressure.
Question 10
1 / -0

Internal energy and pressure of a gas per unit volume are related as:

A
P = 2/3 E

B
P = 3/2 E

C
P = 1/2 E

D
P = 2E

Solution

According to the kinetic gas equation , pV = 1/3 mnc²

Dividing both sides by volume (V) , we get

Note that the internal energy of an ideal gas is equal to its kinetic energy because the potential energy of an ideal gas is zero as there is no intermolecular interaction between gas particles.

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Gaseous States Test - 7

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Gaseous States Test - 7

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Question 1

Hydrogen

Oxygen

Methane

All of the above

Solution

Question 2

0.082 litre−atm K

0.082 litre−atm K−1mol−1

0.082 litre−atm−1 K mol−1

0.082 litre−1atm−1 K mol

Solution

Question 3

4

2

1

1/4

Solution

Question 4

Its temperature is more than critical temperature Tc​

Its pressure is more than critical pressure Pc ​

Its pressure is more than Pc​ at a temperature less than Tc​

It cannot be liquefied at any value of P and T

Solution

Question 5

O2 and CO2

NH3 ​ and HCl

CO and CO2 ​

SO2​ and SO3​

Solution

Question 6

1.5

1.0

2.0

∞

Solution

Question 7

Attractive force and bond energy of molecules

Volume and repulsive force of molecules

Shape and repulsive forces of molecules

Attractive force and volume of the molecules

Solution

Question 8

2

1/2

4

1/4

Solution

Question 9

critical temperature

Boyle's temperature

inversion temperature

reduced temperature

Solution

Question 10

P = 2/3 ​E

P = 3/2 ​E

P = 1/2 ​E

P = 2E

Solution

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0.082 litre−atm K⁻¹mol⁻¹

0.082 litre−atm⁻¹ K mol⁻¹

0.082 litre⁻¹atm⁻¹ K mol

Its temperature is more than critical temperature T_c

Its pressure is more than critical pressure P_c

Its pressure is more than P_c at a temperature less than T_c

O₂ and CO₂

NH₃ and HCl

CO and CO₂

SO₂ and SO₃

P = 2/3 E

P = 3/2 E

P = 1/2 E