Aerodynamics - Properties of High Temperature Gases Quiz(MCQ)

A)
Protons and neutrons break away
B)
Electrons break away from the atom
C)
Electrons jump to the higher energy state
D)
Atoms break away from molecular structure

Correct Answer :   Atoms break away from molecular structure


Explanation : At higher temperature molecules dissociate or ionize depending on the temperature range. Dissociation is a process where the atoms which are a part of the molecule break away from the molecular structure. This leads to the gas becoming highly chemically reactive.

A)
Time
B)
Density
C)
Temperature
D)
Entropy

Correct Answer :   Temperature


Explanation : The vibrational motion of the molecules becomes significant by absorbing some of the energy that would otherwise go into the translational and rotational molecular motion as the temperature of a diatomic or polyatomic gas is raised above normal conditions. The excitation of vibrational energy, allows the specific heat to become a function of temperature function making it thermally perfect rather than calorically perfect.

A)
Oxygen is dissociated completely
B)
Nitrogen is dissociated completely
C)
Ionization of both oxygen and nitrogen
D)
Oxygen is dissociated completely, nitrogen begins to dissociate

Correct Answer :   Oxygen is dissociated completely, nitrogen begins to dissociate


Explanation : Up to 2500 K, there is no reaction taking place and oxygen starts to dissociated. At 4000 K, oxygen gets completely dissociated and nitrogen begins the process of dissociation. The reaction is as follows :

O2 → 2O

A)
2
B)
3
C)
4
D)
5

Correct Answer :   2


Explanation : For a diatomic molecule having translation energy, there are three thermal degrees of freedom. This energy is at the center of mass present due to the translation kinetic energy. The velocity components are in x, y, z direction of the Cartesian space.

A)
Fermions
B)
Bosons
C)
Quarks
D)
Leptons

Correct Answer :   Fermions


Explanation : Molecules and atoms whose elementary particles present are in odd number usually follow a different statistical distribution known as Fermi – Dirac statistics. These atoms and molecules are commonly referred to as Fermions.

A)
Even number
B)
Odd number
C)
Imaginary number
D)
None of the above

Correct Answer :   Even number


Explanation : There are certain atoms and molecules which have even number (2, 4, 6, ..) of elementary particles (quarks, leptons) that obey Bose – Einstein statistical distribution. These particles are known as Bosons.

A)
Energy when gas is at 273.15 K
B)
State where energies are non – existent
C)
Energy when gas is at absolute zero
D)
State where only translation energy exists

Correct Answer :   Energy when gas is at absolute zero


Explanation : The molecule’s ground state refers to the energy that the molecule would have if the gas were theoretically at absolute zero temperature. Therefore, the values for the translational, rotational, vibrational, and electronic modes are often referred to as zero – point energies.

A)
Electrical and vibrational energy
B)
Translation and electronic energy
C)
Translation and rotational energy
D)
Rotational, electronic and translation energy

Correct Answer :   Translation and electronic energy


Explanation : For a molecule, the total energy is a summation of rotational, translation, vibrational and electronic energy. But for a single atom, the total energy is a sum of only translation and electronic energy.

9 .
How many degrees of freedom is there for a CO2 molecule with rotational kinetic energy?
A)
2
B)
3
C)
4
D)
5

Correct Answer :   2


Explaination : CO2 is a linear polyatomic molecule that has similar properties as the diatomic molecule having rotational kinetic energy. The moment of inertia for the molecule in z – axis is negligible small compared to x and y – axis. Due to this reason, diatomic and even linear polyatomic molecules have only two thermal degrees of freedom.

A)
Energy levels
B)
Distribution of electrons in a molecule
C)
Magnitude of different energy levels of a molecule
D)
Distribution of molecules at different energy levels

Correct Answer :   Distribution of molecules at different energy levels

A)
Volume
B)
Temperature
C)
Volume and mass
D)
Temperature and volume

Correct Answer :   Temperature and volume


Explanation : The partition function Q is also known as the state sum. It is defined by the formula:

This partition function has its use in statistical thermodynamics and is a function of both temperature and volume.

A)
Exponential
B)
Linear
C)
Parabolic
D)
Hyperbolic

Correct Answer :   Exponential


Explanation : On observing the equation of finding the molecule in a particular energy state as given by Boltzmann distribution law, we see that the graph varies exponentially as energy εj divided by kT (where k is the Boltzmann constant).

A)
True
B)
False
C)
Can Not Say
D)
None of the above

Correct Answer :   False


Explanation : While analyzing the chemical composition of air at normal temperature and pressure, the major composition is of oxygen and nitrogen molecules. Presence of water vapor, argon, helium etc. are very less thus they can be neglected. Although, at higher temperature (2500K – 9000K), oxygen and nitrogen undergo chemical reaction and there is presence of O, N, NO, NO+ etc.

A)
Mass fraction
B)
Partial pressure
C)
Partial temperature
D)
Mole – mass ratio

Correct Answer :   Partial temperature


Explanation : There are several ways to describe the composition of air which is at a chemical equilibrium. These are – partial fraction, concentration, mole fraction, mole – mass fraction and mass fraction. These help in determining the composition of the reacting gas.

A)
Total pressure is equal to sum of partial pressures
B)
Total entropy is equal to sum of partial entropies
C)
Total number of moles is equal to sum of mole fractions
D)
Total temperature is equal to sum of partial temperatures

Correct Answer :   Total pressure is equal to sum of partial pressures


Explanation : Dalton’s law of partial pressure was formulated to find out the total pressure of the chemically reactive mixture. This is the sum of partial pressures of individual components in the mixture. Dalton’s law is only applicable or perfect gases which means that the intermolecular forces between individual molecules is negligible.

A)
Equilibrium
B)
Forward reaction
C)
Reverse reaction
D)
No change

Correct Answer :   Reverse reaction


Explanation : The reaction quotient gives the same expression as the equilibrium constant for a reaction that is at chemical equilibrium. But, for a reaction when the reaction quotient (Q) is greater than the equilibrium constant (k), there’s more product than the reactant and reverse reaction takes place.

A)
Change in pressure
B)
Equilibrium between mole fractions
C)
Change in temperature spontaneously
D)
No change in chemical composition spontaneously

Correct Answer :   No change in chemical composition spontaneously


Explanation : In a mixture of gases (air), when there is no sudden change in the chemical composition spontaneously or over a short period of time, the system is known to be in chemical equilibrium. There are no changes in temperature, velocity, pressure in the system.

A)
Pressure of the setup
B)
Density of the apparatus
C)
Temperature of the apparatus
D)
Kinetic energy between the molecules

Correct Answer :   Kinetic energy between the molecules


Explanation : For a molecule to become vibrationally excited, it has to undergo several number of collisions which is affected by the kinetic energy present between these colliding particles. Higher kinetic energy results in higher gas temperature which eventually leads to lesser number of collisions required for the molecule to become vibrationally excited.

A)
Low temperature, high pressure
B)
High temperature, low pressure
C)
Low temperature and pressure
D)
High temperature and pressure

Correct Answer :   High temperature, low pressure


Explanation : Molecular collision frequency is directly proportional to the pressure of the molecule and inversely proportional to the square root of the temperature. Therefore, for obtaining low collision frequency, the pressure should be low and the temperature should be high.

A)
Increases
B)
Decreases
C)
No change
D)
First increases then decreases

Correct Answer :   Decreases


Explanation : The molecular collision frequency (Z) is given by the relation :

Therefore, molecular collision frequency is inversely proportional to the square root of temperature which means that as the temperature increases, collision frequency decreases.

A)
Molecular collision frequency
B)
Molar density
C)
Number of moles
D)
Boltzmann constant

Correct Answer :   Molecular collision frequency


Explanation : The amount of time taken by the molecules for collision depends on the molecular collision frequency. Thus parameter tells how many collisions take place with a neighboring particle in a second for a single particle.

A)
0
B)
1
C)
Less than 1
D)
More than 1

Correct Answer :   Less than 1


Explanation : Transition probability is the probability that a molecule will jump to another i + 1 level after the molecular collision. The transition of the molecule moving to a higher energy level requires several number of collisions. This probability value is always less than 1.

A)
Transitions per collision
B)
Number of collisions per second
C)
Number of collisions per second per particle
D)
Number of transitions per particle per second

Correct Answer :   Number of transitions per particle per second


Explanation : The collision frequency (Z) when multiplied with the transition probability (Pi, i + 1) yield the number of transitions per particle per second. Since the collision frequency is the number of collisions taking place per particle and the transition probability gives the number of transitions taking place per collision per particle.

A)
Shuffle reaction of nitric oxide molecule
B)
Dissociation reaction of oxygen molecule
C)
Dissociation reaction of nitrogen molecule
D)
Dissociative – recombination reaction of nitrogen and oxygen

Correct Answer :   Dissociative – recombination reaction of nitrogen and oxygen


Explanation : The reaction taking place below 9000 K for the formation of nitric oxide are dissociation reaction and bimolecular exchange reaction also known as shuffle reaction. They are as follows:

           O2 + M ? 2O + M
           N2 + M ? 2N + M
           NO + M ? N + O + M
           O2 + N ? NO + O

The first two reaction are the dissociation of oxygen and nitrogen molecule respectively. The third and the fourth equations are the shuffle reactions.