Verification of (Boyle's + Charles) Law Content
Verification of (Boyle's + Charles) Law
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VERIFY BOYLE’S LAW WITH THE HELP OF K.M.T
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| According to Boyle’s law at constant temperature, pressure & volume of a gas are related as: | |
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PV = constant
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| According to Kinetic theory, pressure of a gas is | |
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P = (1/3) r
 Since [mN/V = r ]PV = (1/3) mN
Multiplying and dividing by 2 on R.H.S
PV = (2/3) N (K.E)av
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| We know that K.E. is proportional to temperature. Since temperature is constant therefore K.E. will also be constant and 2N/3 is also a constant factor. Thus the factor 2/3 N (K.E)av is constant. | |
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PV = constant
Which is according to Boyle’s law.
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VERIFY CHARLES LAW WITH THE HELP OF K.M.T
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| According to Charles law at constant pressure, absolute temperature & volume of a gas are related as: | |
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V/T = constant
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| According to Kinetic theory, pressure of a gas is | |
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P =( 1/3) r
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Since [mN/V = r ]
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P = (1/3) mN/V
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Multiply and dividing by 2 on R.H.S
P =( 2/3) (N/V) (1/2m
)Since [1/2 m = (K.E)av]V = (2N/3P) (1/2 m
)V = (2N/3P) (K.E.)av
Since K.E. is proportional to temperature therefore we can replace (K.E.)av by T.
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Therefore
V = (2N/3P) T As (2N/3P) is a constant factor,Therefore, V = (constant) T
V/T = constant
Which is according to Charles law.
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