Scan_Doc0115 - stant volume, the pressure will be directly...

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Figure 5.15 The effects of decreasing the volume of a sample of gas at constant temperature. Figure 5.16 The effects of increasing the temperature of a sample of gas at constant volume. 5.6 The Kinetic Molecular Theory of Gases 207 Volume is decreased Pressure and Volume (Boyle's Law) We have seen that for a given sample of gas at a given temperature (n and T are constant) that if the volume of a gas is decreased, the pressure increases: 1 P = (nRT)- '-v---'V t Constant This makes sense based on the kinetic molecular theory because a decrease in volume means that the gas particles will hit the wall more often, thus increasing pressure, as illustrated in Fig. 5.15. Pressure and Temperature From the ideal gas law we can predict that for a given sample of an ideal gas at a con-
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Unformatted text preview: stant volume, the pressure will be directly proportional to the temperature: P = (~)T t Constant The KMT accounts for this behavior because when the temperature of a gas increases, the speeds of its particles increase, the particles hitting the wall with greater force and greater frequency. Since the volume remains the same, this would result in increased gas pressure, as illustrated in Fig. 5.16. Volume and Temperature (Charles's Law) The ideal gas law indicates that for a given sample of gas at a constant pressure, the vol-ume of the gas is directly proportional to the temperature in kelvins: v = (n;)T ~ r Constant Temperature is increased...
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