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# Scan_Doc0096 - 188 Chapter Five Gases How do we get there...

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188 Chapter Five Gases N2 Ar H2 1 CH 4 1 Figure 5.10 These balloons each hold 1.0 L gas at 25°C and 1 atm. Each balloon contains 0.041 mol gas, or 2.5 x 10 22 molecules. How do we get there? What is Charles's law (in aform useful with our knowns)? Vi = V 2 r. T2 What is V 2 ? ( T2) (311 K) V 2 = T i Vi = 288 K 2.58 L = 2.79 L Reality Check: The new volume is greater than the original volume, which makes phys- ical sense because the gas will expand as it is heated. SEE EXERCISE 5.42 Avogadro's Law In Chapter 2 we noted that in 1811 the Italian chemist Avogadro postulated that equal vol- umes of gases at the same temperature and pressure contain the same number of "parti- cles." This observation is called Avogadro's law, which is illustrated by Fig. 5.10. Stated mathematically, Avogadro's law is V= an where V is the volume of the gas, n is the number of moles of gas particles, and a is a proportionality constant. This equation states that for a gas at constant temperature and pressure, the volume is directly proportional
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