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Rocket Propulsion - Chemical Rocket Propellant Performance Analysis Quiz(MCQ)

A)
high temperature, low pressure
B)
high temperature, high pressure
C)
low temperature, low pressure
D)
low temperature, high pressure

Correct Answer :   high temperature, low pressure


Explanation : Perfect gas equations are valid for high temperature and low-pressure gases. In such a case, the inter-molecular forces are negligibly small. PV=RT is the perfect gas equation, with V as the specific volume, P as the pressure, T as the temperature and R as the gas constant for the mixture of gases.

2 .
Consider a mixture of three gases a, b and c at equilibrium. If the individual gas components have pressures equal to Pa, Pb and Pc, determine the total pressure P of the mixture of gases.
A)
P = Pa x Pb x Pc /(Pa + Pb + Pc)
B)
P = Pa + Pb + Pc
C)
P = (Pa x Pb / Pc) + (Pb x Pc / Pa) + (Pc x Pa / Pb)
D)
P = [(Pa x Pb) + (Pb x Pc) + (Pc x Pa)] / (Pa + Pb + Pc)

Correct Answer :   P = Pa + Pb + Pc


Explaination : Dalton’s law of partial pressures states that the total pressure exerted by a mixture of gases is the sum of partial pressures of individual gas components. Hence the answer is P = Pa + Pb + Pc.

3 .
Consider two sets of mixture of gases X and Y having the same total temperature of the mixture and having total pressures PX and PY respectively. If PX = 1.4 PY and molecular mass of A MX = 2.3 x MY, determine the ratio of Vmix_X/Vmix_Y.
A)
0.62
B)
0.52
C)
0.31
D)
0.26

Correct Answer :   0.31


Explaination : Assuming the mixture of gases to be ideal, we have P = R’T/MVmix where Vmix is the specific volume of the mixture and R’ is the universal gas constant.
PX/PY = (TX/TY) x (MYVmix_Y/MXVmix_X)
Vmix_X/Vmix_Y = (MY/MX) x (TX/TY) x (PY/PX)
= (1/2.3) x 1 x (1/1.4) = 0.31.

4 .
In a gaseous mixture, the number of moles and the molecular mass (in their respective units) of each component is given as follows: nA = 1, MA = 23; nB = 2, MB = 48; nC = 3, MC = 19. Find the average molecular mass of the mixture.
A)
25.47
B)
28.67
C)
29.33
D)
31.25

Correct Answer :   29.33


Explaination : Mavg = (nAMA + nBMB + nCMC) / (nA + nB + nC)
= (23 + 96 + 57) / 6 = 29.33.

5 .
What is the number of condensed species in a gaseous mixture, if there are 8 possible species which enter into a relationship and out of these, only 5 are gases?
A)
3
B)
6
C)
9
D)
12

Correct Answer :   3


Explaination : If there are n species that enter into a relationship and if there are only m species out of these, then the total number of condensed species is n-m.

6 .
What is the energy released (or absorbed), or the enthalpy change when one mole of a chemical compound is formed from its constituent atoms or elements at one bar and isothermally at 25°C?
A)
Heat of reaction
B)
Heat of formation
C)
Gibbs free energy
D)
Latent heat of vaporization

Correct Answer :   Heat of formation


Explaination : This is the definition of heat of formation. In this reaction, each of the reactants and products are in its thermodynamic standard state and at the reference pressure and temperature.

A)
ideal
B)
reversible
C)
irreversible
D)
stoichiometric

Correct Answer :   irreversible


Explanation : The whole process of combustion of solid propellants to derive a reaction mixture is an irreversible chemical reaction. It means that the reverse process is not possible.

A)
oxidizer rich
B)
fuel rich
C)
stoichiometric
D)
All of the above

Correct Answer :   fuel rich


Explanation : Rocket propulsion systems typically operate in fuel rich mixture ratio. This allows a portion of lightweight molecules such as hydrogen to be unreacted and contributes to the decrease in the average molecular mass of the combustion products.

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

Correct Answer :   True


Explanation : The heat generated during combustion of the propellants is the heat that is necessary to raise the resulting gases to their final temperature adiabatically. This follows from the conservation of energy.

A)
Adiabatic chemical reaction at the reference temperature
B)
Isentropic chemical reaction at the reference temperature
C)
Isothermal chemical reaction at the reference temperature
D)
Heating of gases with the energy release from the chemical reaction

Correct Answer :   Isothermal chemical reaction at the reference temperature


Explanation : The energy balance can be thought of as a two-step process. The first step involved in the isothermal chemical reaction of the propellants at the reference temperature. The second step involves the resultant gases having their temperature raised by the heat released from the previous chemical reaction.

A)
Water
B)
Hydroxyl
C)
Hydrogen
D)
Hydrogen peroxide

Correct Answer :   Hydrogen peroxide


Explanation : Theoretically, the reaction between hydrogen and oxygen can give rise to H2O2 and O3 too. But these are unstable materials and they do not readily exist at high temperatures.

A)
10
B)
50
C)
100
D)
200

Correct Answer :   50


Explanation : The number of compounds present in the exhaust for a solid propellant rocket engine or a liquid propellant rocket engine with additives can be 50 or more. But many of these chemical species are present in negligible amounts and can be ignored.

A)
combustion efficiency
B)
isentropic efficiency
C)
propulsive efficiency
D)
polytropic efficiency

Correct Answer :   combustion efficiency


Explanation : Energy release efficiency is also called as combustion efficiency. It is the ratio of actual change in enthalpy of the unit propellant mixture to the theoretical change in enthalpy necessary to transform the propellants from the initial conditions to the products at the chamber pressure and temperature.

A)
increases
B)
decreases
C)
oscillates
D)
doesn’t change

Correct Answer :   increases


Explanation : Combustion efficiency increases with increased combustion temperature. It is also depended on the method of injection and mixing.

15 .
Which of the following does the nozzle boundary layer depend on?

I) Axial pressure gradient
II) Nozzle geometry
III) Surface roughness
A)
I, II and III
B)
Only III
C)
Only I and III
D)
Only II and III

Correct Answer :   I, II and III


Explaination : Nozzle boundary layer depends on all three factors. In addition to these, it also depends on the heat losses to the walls.

16 .
What is the average diameter of a solid particle in a nozzle flow above which there is a chance of occurrence of thermal lag?
A)
0.1 μm
B)
1 μm
C)
10 μm
D)
100 μm

Correct Answer :   0.1 μm


Explaination : If the average diameter of the solid particles or the liquid droplets in a nozzle flow exceeds 0.1μm, it may lead to thermal and velocity lag. The thermal lag depends upon the convection and radiation means of losing energy and the velocity lag depends upon the drag experienced by the particles.

17 .
In which of the following modes of analysis does the temperature, velocity or pressure at any normal cross-section of an axisymmetric nozzle remain to be the same?
A)
One dimensional
B)
Two dimensional
C)
Three dimensional
D)
N-dimensional, where N can be 1,2,3,…

Correct Answer :   One dimensional


Explaination : The simplest nozzle analysis is one-dimensional. In this case, for an axisymmetric nozzle, the flow properties across any normal cross-section will remain to be the same, or the flow properties are said to be uniform.

A)
Adiabatic, reversible expansion
B)
Conversion of thermal to kinetic energy
C)
Drop in static temperature and pressure
D)
Drop in stagnation temperature and pressure

Correct Answer :   Drop in stagnation temperature and pressure


Explanation : Stagnation temperature remains constant for ideal expansion in the nozzle. Ideal expansion is isentropic and involves conversion of thermal to kinetic energy.

A)
Heat exchange
B)
Frictional effects
C)
Reversibility
D)
Divergence angle

Correct Answer :   Reversibility


Explanation : For simple cases of nozzle expansion, the effects of friction, heat transfer, shock waves, non-equilibrium and divergence angle are neglected. But the process is considered to be reversible none the less.

20 .
Assertion : The condensed phases (liquid and solid) are assumed to have zero volume.
Reason : Particles or droplets are very small in size.
A)
Both assertion and reason are incorrect
B)
The assertion is correct, but the reason is incorrect
C)
Both are correct but the reason is not the correct explanation for the assertion
D)
Both are correct and the reason is the correct explanation for the assertion

Correct Answer :   Both are correct and the reason is the correct explanation for the assertion


Explaination : The condensed phases are assumed to have zero volume. It implies that the droplets or particles are very small in size and have the same temperature as the gas at all the nozzle locations.

21 .
What is the typical value of penalty incurred by assuming a frozen equilibrium rocket performance?
A)
0%
B)
1-4%
C)
12-15%
D)
25-30%

Correct Answer :   1-4%


Explaination : By assuming frozen equilibrium, we assume that the composition of the chemical products remains constant throughout the nozzle and is the same as that under the chamber conditions. In such a case, there are no phase changes or chemical reactions within the nozzle. The typical penalty on the rocket performance by assuming frozen equilibrium is about 1-4%.

22 .
In which of the following cases is the chemical equilibrium maintained instantaneously, even though the gas composition varies through the nozzle due to temperature and pressure variations along the nozzle?
A)
Non-equilibrium
B)
Frozen equilibrium
C)
Shifting equilibrium
D)
Isothermal equilibrium

Correct Answer :   Shifting equilibrium


Explaination : In shifting equilibrium, even though there is an instantaneous chemical equilibrium between all molecular species, under the variation of pressure and temperature along the nozzle, the chemical composition varies. The gas composition at the chamber and at the exhaust in such a case would be different.

23 .
Dissociation of the reaction products __________ with the rise in the chamber temperature and _________ with the rise in chamber pressure of a chemical rocket engine.
A)
decreases, decreases
B)
increases, increases
C)
decreases, increases
D)
increases, decreases

Correct Answer :   increases, decreases


Explaination : Higher chamber temperature results in higher dissociation of the reaction products. But the dissociation can be suppressed by an increase in the chamber pressure.

A)
pinking
B)
pre-ignition
C)
pinging
D)
detonation

Correct Answer :   pre-ignition


Explanation : Knocking and pre-ignition are two separate events. Knocking happens when the combustion of some of the air-fuel mixture doesn’t occur because of the propagation of flame front due to spark-plug ignition, but when one or more air-fuel mixture pockets explode outside the normal combustion front. Pre-ignition refers to the case in which combustion happens even before the spark-plug fires.

A)
Boron
B)
Beryllium
C)
Nitroglycerine
D)
Aluminum

Correct Answer :   Nitroglycerine


Explanation : Nitroglycerine is a dense, colorless, explosive liquid. Its chemical formula is C3H5N3O9. It is neither metallic nor an additive.

A)
RP-1
B)
C-4
C)
RDX
D)
HMX

Correct Answer :   RP-1


Explanation : RP-1 is a highly refined form of kerosene. It is short for Rocket Propellant-1 or Refined Petroleum-1. A part of RP-1 includes toxic and carcinogenic hydrazine.

A)
RP-1
B)
RDX
C)
HMX
D)
None of the above

Correct Answer :   RP-1


Explanation : RP-1 fuel is used in the first stage of Titan 1. Other than that, it was also used in the first stages of Saturn V, Energeia, Saturn I and IB etc. It is a cheaper and less explosive alternative to LH2.

28 .
The fuel which releases the most energy per unit mass of combustion is ______
A)
RP-1
B)
LH2
C)
Kerosene
D)
Methane

Correct Answer :   LH2


Explaination : Compared to hydrocarbon fuels, liquid hydrogen delivers most energy per unit mass of combustion. Any hydrocarbon fuel, when subjected to combustion produces more pollution than LH2.

A)
RP-1
B)
Jet fuel
C)
Syntin
D)
Kerosene

Correct Answer :   Syntin


Explanation : Syntin is a high-energy formulation briefly used in the upper stages of rockets developed by the Soviet Union. Its molecular formula is C10H16 and it is a mixture of 4 stereoisomers.