Nader Makarious

Boyle's Law

 

In 1662, Robert Boyle (British chemist 1627 - 1691) studied the relationship between the pressure and the volume of a gas at a constant temperature.

 Boyle observed that the product of the pressure and volume are observed to be nearly constant. The product of pressure and volume is exactly a constant for an ideal gas.

P X V = constant

For 2 different gases Boyle’s law formula

P1 X V1 = P2 X V2

 

P1, V1 (pressure and volume for the first gas).

P2, V2 (pressure and volume for the second gas).

 

Boyle’s experiment:

 

Robert Boyle used a sealed end J-shaped piece of glass tubing, a gas (air) was trapped in the sealed end of the tube and varying amounts of mercury were added to the J-shaped tube to vary the pressure of the system. Boyle systematically varied the pressure and measured the volume of the gas. These measurements were performed using a fixed amount of gas at constant temperature. In this way Boyle was able to examine the pressure-volume relationship without complications from other factors such as changes in temperature or amount of gas.

Volume of a fixed mass of gas at a constant temperature is inversely proportional to the pressure of the gas.

When volume increases, pressure decreases, and vise versa

 

 

 

 Graph the given data at http://webserver.lemoyne.edu/faculty/giunta/

And use the equation      PXV= constant will give the results as below:

 

 

volume

Pressure                PXV

48

29.125                  1398

46

30.5625               1405.8

44

31.9375              1405.25

42

33.5                     1407

40

35.3125               141.25

38

37                        1406

36

39.3125               141525

34

41.625                1415.25

32

44.1875               1414

30

47.0625              1411.87

28

50.3125              1408.75

26

54.3125              1412.19

24

58.8125              1411.56

23

61.3125               1410.1

22

64.0625              1409.37

21

67.0625              1408.31

20

70.6875              1413.75

19

74.125                1408.37

18

77.875                1401.75

17

82.75                  1406.75

16

87.875                1406.01

15

93.0625              1395.97

14

100.438              1406.13

13

107.813              1401.56

12

117.563              1410.36

 

 

 

 

 

 

 

 

 Conclusion

 

 Graph type shows an inverse proportional between pressure and volume, also by using the given data and applying them using Boyle’s equation   P X V = constant

we always get a constant, even though it’s not the exact same number and this occurred because we didn’t use an ideal gas here (A gas consider ideal when its particles has a negligible volume, with no intermolecular forces and its atoms or molecules undergo perfectly elastic collisions).