Calibration of bomb calorimeter

Calibration of bomb calorimeter 

PURPOSE 

The purpose of
this standard operating procedure is to provide the guidelines of calibration
of bomb calorimeter.

SCOPE

The
scope
  of this standard operating
procedure includes the guidelines of calibration
 of bomb calorimeter.

PROCEDURE

The
effective heat capacity of the system is determined by burning pure and
dry benzoic acid weighing not less
than 0.9 and not more than 1.1 gram. Determine the corrected temperature rise T
, from the observed test data , also titrate the bomb washings to determine the
nitric acid correction, and measure the unburnt fuse fire ,compute the energy
equivalent by substitution in the following equations:-    

                                            H
M  + 
E1  + E2

                               W 
=  ——————————

                                                      
T

           Where
  

             W 
= energy equivalent of calorimeter in calories per degree centigrade.

             H  
= calorific value of standard benzoic acid/ sample in calories per gram

             M  
= mass of standard benzoic acid/samples in grams.

             T    = corrected temperature rise in degrees C.

             E1 = correction for heat formation
of nitric acid in calories, and

             E2 = correction for heat of combusting of
firing wire, in calories

Pharmacology: Prep Manual for Undergraduates


CORRECTIONS TO BE MADE

1. Cooling Correction: Cooling correction
includes the effects of the heat interchange between the vessel and the jacket
due to conduction, convection and radiation, and of the heats of stirring and
evaporation. This is minimized by having the temperature of the

water in the vessel below that of the water in the jacket
at the time of firing and within ±1 o C, preferably ± 5oC,
of it at the end of the chief period a low heat of stirring and a low loss by
evaporation. The correction shall be determined as follows by the use of the
Regnault – Pfaundier formula or the Whitaker Formula which gives, for a
representative series of coals, a mean correction differing by not more than
one part in 1000 from that given by the Regnault – Pfaundier formula.

 

2. Whitaker Correction: In place of the Regnault –
Pfaundier cooling correction, which s cumbersome, the Whitaker correction may
be adopted, provided that it has also been employed to find the water
equivalent or the heat capacity of the apparatus. The heat capacity will be
found by the Whitaker correction to be about to be 0.25 to 0.3 percent lower
than the value given when R-Pcorrection is used – a difference of 7 to 9 in
3000.

To employ the Whitaker correction ten temperature
readings are taken in the after period in order to obtain a more reliable value
of the cooling rate per minute. If this rate be denoted by the dt and the time
from the instant of firing to any chosen temperature reading in the steady
cooling period be x minutes, then the cooling correction is simply (X x dt)oC.
The “observed rise” is the difference between the temperature at the instant of
firing and the temperature taken x minutes later in the cooling range. It is
not necessary, nor is it desirable , to take the actual maximum temperature
reading. Generally , a temperature taken 2 or 3 minutes later in the steady
range of cooling forms a more reliable and definite “observed maximum”. The
temperature value at x, of course , depends upon the magnitude of x, but the
same corrected temperature rise is obtained provided that dt is constant.

3. Heat of Ignition: The heat release from the cotton and
firing wire is subtracted from the total heat release. The heat release from
the cotton is calculated from the weight, after drying at 105oC, of
a known length of cotton thread, and using the calorific value of cellulose

 (4180 cal/g). Determine the weight of piece of
wire equal in the length to the distance between the poles of the bomb, and
calculate the heat release by allowing 335 cal /g for platinum wire.

 

4. Heat of formation of Acids: The heat gain due to the
formation of sulphuric acid and nitric acid is subtracted from the total heat
released. These corrections amount to 3.60 cal/ml of 0.1 N sulphuric acid 1.43
cal/ml of 0.1 N nitric acid presents in the bomb washings and are calculated as
follows: –

Sulphuric
acid correction = 3.60(a+b-20) cal

Nitric
acid correction = 1.43 (20-a) cal

Where

a=
vol in ml of 0.1 N hydrochloric acid used

b=
vol in ml of 0.1 barium hydroxide used

 

5. Correction for Unburned Carbon: If unburned carbon
is suspected, its heat equivalent on the basis of 1 mg of carbon equals 8
calories shall be added to the determined heat release. Unburned carbon is
determined as the loss in weight on ignition of the residue from the crucible.

 

Calculation:
The following example illustrates the method of calculation using the Whitaker
corrections:

Calculation
using Whitaker correction:

Weight
of crucible + thread                           
=  5.298 g

Weight
of crucible + thread + coal                
=  6.301 g

Weight
of air – dried coal                               =  1.003 g   

Mean
Calorimeter temperature                     
=  26.5oC

Effectivemean
heat capacity at 26.5oC         
=  2.863 cal / oC

Correction
for sulphur in coal                        
=  16 cal

Temperature of calorimeter jacket                 =  26.7 oC

Temperature of thermometer settings           =  
24.6 oC

Room Temperature                                       =   26.6 oC

Moisture in coal                                              =   1.90
%

Ash                                                      
          =   12.1
%

Uncorrected temperature rise                        =   2.480
o
C

Add cooling correction                                   =   0.048 oC

Add thermometer correction                          =   0.014 oC

Corrected temperature rise                            =  
2.542 oC

Heat Liberated                                               =   7.278cal

Subtract nitric acid corrected                         =   8 cal

Subtract correction for heat of Ignition           =   21 cal

Heat from 1.003 3g coal                                =   7249 cal

Heat from 1.000 0 g coal                               =   7225
cal

Subtract sulphur correction                           =   16
cal

Calorific value of air dried coal                      =   7209
cal/g

 

Rounding Off
– Round off the mean of the values or the single value4 to the nearest 10 cal /
g

Precision
– The results of duplicate determination in one laboratory should agree to
within 50 cal/ g and those between different laboratory to within 100 cal / g.
 

PRECAUTIONS

1. Do not use too much sample .the bomb
can not be expected to withstand the effects of combustible charges which
liberated more than 10,000 calories. this generally limits the total weight of combustible
material (sample plus gelatin firing oil or any combustion aid) does not more
than 1.10 gram .Do not charge  with more
oxygen than is necessary and do not fire the bomb if an overcharge of oxygen
should accidentally be admitted.

2.  
Keep all parts of the bomb especially the insulated electrode assembly
in good repair at all times Do not fire the  
bomb if gas bubbles are leaking from the bomb when it is submerged in
water.  

 

3.   Proceed with
caution and use only a fraction of the allowable maximum sample when testing
new materials, which burn rapidly, or have explosive characteristics.

 

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