Determining the heating value of a
propellant sample using a bomb calorimeter.
Report
submitted by Krishnadev C. (AE01B031) on the experiment done on 28th
January 2003 in the Rocket and Missiles Laboratory, Department of
Aerospace Engineering, IIT-Madras.
Aim:
The aim of this experiment is to
measure the heating value of a sample of propellant using a bomb calorimeter.
Apparatus:
A bomb calorimeter, Beckmann’s
thermometer, magnifying eye-piece, a sample of virgin propellant, stirrer, a
compressor, nichrome wire and Nitrogen cylinder.
Theory and
Procedure:
The
aim of the experiment is to find the high calorific value of a sample of virgin
propellant. A bomb calorimeter was used for this purpose. The propellant sample
is burned inside a bomb and the temperature variation is studied using an
extremely sensitive thermometer. The rise in temperature corresponds to the
calorific value of the propellant. In this experiment a solid propellant (HTPD
+ Oxidizer) was used. The sample was virgin propellant, it had only fuel and
oxidizer, and there were no catalysts.
The propellant is carefully fixed on to the
bomb lid using nichrome wire. A few drops of water is poured into the bomb in
order to make it air tight, and to bring about uniformity in temperature when
the propellant burns. The bomb is to be freed of any oxidizing gas, hence
pressurized Nitrogen is supplied into it repeatedly, finally the bomb is
prepared with about 4 bar of Nitrogen gas in it. Thus prepared bomb is
carefully placed in the calorimeter. Then measured quantity of water is poured
into the calorimeter to absorb the heat generated. Later the Beckmann
thermometer and stirrer is fixed and the calorimeter is also sealed.
The sample is ignited by passing electricity
through the nichrome wire. The temperature variation is analyzed using Beckmann
thermometer. Beckmann’s thermometer is high sensitivity mercury thermometer
with a least count of 0.001oC. The temperature is measured with the
help of a magnifying eye-piece at regular intervals of time (1 minute). The temperature of the water increases
gradually as it slowly absorbs the temperature generated in the combustion of
the propellant. Then the temperature slowly begins to decreases as the water
gets cooled. The readings are taken until the temperature stabilizes with the
ambient value. The Calorific value of the propellant is determined from the
readings taken.
Formulae
used:
mw Cp ΔT = mf
H
Where: - H
= heating value of fuel
mf = mass of propellant sample
mw = total equivalent of water
ΔT = temperature change
Cp = Specific heat (= 4.8 J/K)
Observations:
Mass of the propellant used, mf =
3.2494g
(i) Before the combustion process.
|
S. No: |
Time (minutes) |
Temperature (Beckmann’s) |
|
a |
0 |
1.15 |
|
b |
0 |
1.17 |
|
c |
0 |
1.185 |
|
d |
0 |
1.19 |
|
e |
0 |
1.192 |
|
f |
0 |
1.21 |
(ii) After the combustion process.
|
S. No: |
Time (minutes) |
Temperature (Beckmann’s) |
|
1 |
|
2.24 |
|
2 |
|
2.33 |
|
3 |
|
2.36 |
|
4 |
|
2.395 |
|
5 |
|
2.4 |
|
6 |
6 |
2.42 |
|
7 |
|
2.47 |
|
8 |
|
2.48 |
|
9 |
9 |
2.49 |
|
10 |
10 |
2.495 |
|
11 |
11 |
2.5 |
|
12 |
12 |
2.51 |
|
13 |
|
2.512 |
|
14 |
14:10 |
2.514 |
|
15 |
15 |
2.513 |
|
16 |
16 |
2.515 |
|
17 |
17 |
2.518 |
|
18 |
18 |
2.52 |
|
19 |
19 |
2.522 |
|
20 |
20 |
2.525 |
|
21 |
21 |
2.528 |
|
22 |
22 |
2.53 |
|
23 |
23 |
2.531 |
|
24 |
24 |
2.534 |
|
25 |
25 |
2.536 |
|
26 |
26 |
2.539 |
|
27 |
27 |
2.54 |
|
28 |
28 |
2.54 |
|
29 |
29 |
2.545 |
|
30 |
30 |
2.55 |
|
31 |
31 |
2.55 |
|
32 |
32 |
2.555 |
|
33 |
33 |
2.56 |
|
34 |
34 |
2.562 |
|
35 |
35 |
2.564 |
|
36 |
36 |
2.568 |
|
37 |
37 |
2.57 |
|
38 |
38 |
2.572 |
|
39 |
39 |
2.576 |
|
40 |
40 |
2.58 |
|
41 |
41 |
2.582 |
|
42 |
42 |
2.585 |
|
43 |
43 |
2.588 |
|
44 |
44 |
2.591 |
|
45 |
45 |
2.595 |
|
46 |
46 |
2.598 |
|
47 |
47 |
2.598 |
|
48 |
48 |
2.598 |
|
49 |
49 |
2.598 |
|
50 |
50 |
2.598 |
|
51 |
51 |
2.60 |
|
52 |
52 |
2.601 |
|
53 |
53 |
2.605 |
|
54 |
54 |
2.617 |
|
55 |
55 |
2.62 |
|
56 |
56 |
2.626 |
|
57 |
57:20 |
2.630 |
|
58 |
58:20 |
2.634 |
|
59 |
59:20 |
2.638 |
|
60 |
60:20 |
2.642 |
Calculations:
Amount of water added = 1860g
Initial reading of Beckmann’s thermometer
= 1.21
Final reading of Beckmann’s
thermometer = 2.642
Rise in temperature = 1.432oC
Water
Equivalent of the calorimeter = 670g
Water
Equivalent of Nichrome = 0.032g
Mass
of propellant = 3.2494g
Calorific
value of the propellant used = 4.66 kJ/kg.
Result:
The temperature variation was carefully
measured using the Beckmann’s Calorimeter. The Calorific value of the
propellant sample was determined to be 4.66kJ/kg.