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 = constantWhich 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.SP =( 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) TAs (2N/3P) is a constant factor,Therefore, V = (constant) TV/T = constantWhich is according to Charles law. |

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