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 (1/2 m)since (1/2 m) = (K.E)avtherefore 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. ThereforeV = (2N/3P) TAs (2N/3P) is a constant factor,Therefore, V = (constant) T V/T = constant Which is according to Charles law.