Verification of (Boyle's + Charles) Law Content
Verification of (Boyle's + Charles) Law
VERIFY BOYLE’S LAW WITH THE HELP OF K.M.T | |
| According to Boyle’s law at constant temperature, pressure & volume of a gas are related as: | |
PV = constant | |
| According to Kinetic theory, pressure of a gas is | |
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 | |
| 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. | |
PV = constant Which is according to Boyle’s law. | |
VERIFY CHARLES LAW WITH THE HELP OF K.M.T | |
| According to Charles law at constant pressure, absolute temperature & volume of a gas are related as: | |
V/T = constant | |
| According to Kinetic theory, pressure of a gas is | |
P =( 1/3) r | |
Since [mN/V = r ] | |
P = (1/3) mN/V | |
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. | |
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. |