labs data

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Relative Density 5.0 Data Sheet Specific gravity of Air  Specific gravity of Butane  Specific gravity of Methane  Atmospheric Pressure Ambient Temperature  Time of effusion (s) Air Butane Methane 1 st  55.65 78.92 50.55 2 nd  56.61 78.07 50.67 Average 56.13 78.42 51.61 Table 1 6.0 Analysis Of Results Using the average effusion times the relative densities for Methane and Butane For Butane; R . D = t  A t  A æ è ç ö ø ÷ 2 = 78.42 56.13 æ è ç ö ø ÷ 2 = 1.95 For Methane; R . D = t  A t  A æ è ç ö ø ÷ 2 = 51.61 56.13 æ è ç ö ø ÷ 2 = 0.85 

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Page 1: LABS Data

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Relative Density

5.0 Data Sheet

Specific gravity of Air  

Specific gravity of Butane  

Specific gravity of Methane  

Atmospheric Pressure

Ambient Temperature  

Time of effusion (s)

Air Butane Methane

1st   55.65 78.92 50.55

2nd  56.61 78.07 50.67

Average 56.13 78.42 51.61

Table 1

6.0 Analysis Of Results

Using the average effusion times the relative densities for Methane and Butane

For Butane;

R.D =t  A

t  A

æ

è

çö

ø

÷

2

=78.42

56.13

æ

è

çö

ø

÷

2

=1.95 

For Methane;

R.D =t  A

t  A

æ

è

ç

ö

ø

÷

2

=51.61

56.13

æ

è

ç

ö

ø

÷

2

= 0.85 

Page 2: LABS Data

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6.1.3 Relative Density Correction

The relative densities evaluated were uncorrected values obtained on a wet

basis. So, in order to calculate the corrected relative densities on a dry basis, the

correction factors are read from table in Appendix I, and either added or

subtracted from the experimental value obtained.

These correction factor C is calculated using the expression below:

Where; C = Correction to be added or subtracted from the uncorrected value

according to its sign.

P = Percentage of water vapour in the gas

D = uncorrected relative density.

Butane:

The relative density of Butane at 20oC was calculated to be 1.95. From the table

there was no corresponding correction factor for the said value, so a linear

extrapolation cannot be carried out.

Methane:

. . R D uncorrectedR D C 

0.622 ( 1)

(100 )

 P DC 

 P 

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The relative density of Methane at 20oC was calculated to be 0.85. From the table

there is no corresponding correction factor for the said value, so a linear

interpolation is carried out to obtain it.

C  = 0.003+

0.85   0.8( )0.9   0.8

é

ë

ê

ê

ù

û

ú

ú

  0.001+0.003(   ) = 0.002 

Therefore;  RDmethane =0.85   0.002=0.848 

 Percentage. Error  =0.6   0.848

0.6  100= 41.3%

 

GasRD

(Theoritical)

RD

(Experimental)

Percentage

Error (%)

Butane 2 1.93 3.5

Methane 0.6 0.85 -41.3

Table 2 

. 100 Experimental Actual 

 Percentage Error  Actual 

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Flow Rate

5.0 Data Sheet

Experimental Conditions:

Atmospheric Pressure (from Barometer) = 749 mmHg = 0.9986 bar

Gas Inlet Pressure = 21 mbarg + 0.9986 bar = 1.0196 bar

Gas Temperature = 20o C + 273 = 293K

MSC Pressure = 1.01325 bar

MSC Temperature = 288.15 K

MSC Volume of gas (V) = 0.0798 ft3 

Collected volume of H2O = 900 ml = 0.9 kg

Cycles

H2O

Temperature

(in)

H2O

Temperature

(Outlet)o C o C

1st  14.7

36.2

36.3

36.3

36.3

2nd  14.7

36.3

36.5

36.5

36.6

3rd  14.7

36.736.7

36.8

36.8

4th  14.6

36.8

36.9

36.9

37.5

Average 14.68 36.63

Table 3

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6.0 Analysis Of Results

The volume of gas used during combustion was calculated as:

oC,

F = Conversion factor to C in Btu/ft3 or MJ/m3 = 3.997

S = Specific heat of the water = 1 cal/oC

Therefore calorific value was calculated using:

 s s

 s

 P V T V 

 P T 

V  =1.01325  0.0798   293

1.0196   288.15= 0.0806 sft 

3

△T  H 

2o = 36.63  14.68= 21.95

C   V  =W    s   △T  H 

2o   F 

C  =W    s   △T 

 H 2o   F 

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This can be expressed in MJ/m3 (st);

Error=

 

Error=

 

C  =0.9   1  21.95  3.997

0.0806= 979.66 Btu / sft 

3

C  =979.66

26.34

=37.19 MJ  /m3( st )