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Charle’s law and Boyle’s law

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Introduction to Charle’s law and Boyle’s law

What is Boyle’s law?

Boyle’s law is a quantitative relationship between the volume and pressure of a gas at constant temperature.
"The volume of a given mass of a gas is inversely proportional to pressure if temperature remains constant ". 
According to Boyle’s law 
 
V µ 1/P
V= (constant)(1/P)
PV=constant
At P1 pressure P1V1 = constant ---(1)
At P2 pressure P2V2 = constant ---(2)
Comparing equations (1) & ( 2)
P1V1 = P2V2
 
"At constant temperature, the product of pressure and volume of a gas remains constant " 
 
A graph between P & V at constant temperature yields a smooth curve known as "parabola"
 
charleslaw_boyleslaw1charleslaw_boyleslaw2
A graph between 1/P & V at constant temperature yields a straight line 

What is Charle’s law?

Charle’s law is a quantitative relation between the volume and absolute temperature of a gas at constant pressure. 
 
"The volume of a given mass of a gas at constant pressure is directly proportional to absolute temperature" 
 
"The volume of a given mass of a gas increases or decreases by 1/273 times of it’s original volume at 0 0C for every degree fall or rise of temperature at given pressure." 
 
Let the volume of a gas at T Kelvin be V
Then according to Charles’s law
V µ T
V = (constant) T
V/T = constant
At T1 k V1/T1 = k ---------------(1)
At T2 k V2/T2 = k ---------------(2)
therefore
V1/T1 = V2/T2
 
By using above equation, Charles’s law can also be stated as:
 
"The ratio of volume to absolute temperature of a gas at given pressure is always constant" 

charleslaw_boyleslaw3


A graph between the volume and absolute temperature of a gas at constant pressure yields a "straight line"

Difference between Charle’s law and Boyle’s law

Boyle's Law has to do with the relationship between pressure and volume at constant temperature. The two parameters are indirectly proportional. That is, the PV product is constant --- P1V1 = P2V2.
Charles' Law addresses the relationship between volume and temperature at constant pressure. It turns out that the Kelvin temperature and the volume are directly proportional. That is, V1/T1 = V2/T2.
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