Lecture_08OCT

# Lecture_08OCT - Combined gas laws Boyle!s law Gay-Lussac!s...

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Combined gas laws Charles ! law: P 1 V 1 = P 2 V 2 Gay-Lussac ! s law: P 1 V 1 P 2 V 2 T 1 T 2 = P 1 T 1 P 2 T 2 = V 1 T 1 V 2 T 2 = Boyle ! s law: A sample of hydrogen occupies 465 ml at STP. If the pressure is increased to 950. torr and the temperature is decreased to -15.0°C, what would be the new volume? P 1 = 760. torr V 1 = 465 ml T 1 = 0.0°C P 2 = 950. torr V 2 = ? T 2 = -15.0°C T 1 = 0.0°C + 273.15 = 273.2 K Change temperature from ° C to K K = °C + 273.15 T 2 = -15.0°C + 273.15 = 258.2 K

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P 1 = 760. torr V 1 = 465 ml T 1 = 273.2 K P 2 = 950. torr V 2 = ? T 2 = 258.2 K A sample of hydrogen occupies 465 ml at STP. If the pressure is increased to 950. torr and the temperature is decreased to -15.0°C, what would be the new volume? T 1 = P 1 V 1 T 2 P 2 V 2 P 1 = 760. torr V 1 = 465 ml T 1 = 273.2 K P 2 = 950. torr V 2 = ? T 2 = 258.2 K (760. torr) (465 ml) (950. torr) V 2 273.2 K 258.2 K = (258.2 K) (950. torr) (258.2 K) (950. torr) 352 ml = V 2 A sample of hydrogen occupies 465 ml at STP. If the pressure is increased to 950. torr and the temperature is decreased to -15.0°C, what would be the new volume?
Relationship between gas volume and quantity (number of moles) Avogadro ! s hypothesis Equal volumes of gases at the same temperature and pressure contain equal numbers of molecules V = C n Can be rewritten as : V / n = C V 1 / n 1 = C V 2 / n 2 = C V 1 / n 1 = V 2 / n 2 Avogadro ! s Law The volume of a gas at constant temperature and pressure is directly proportional to the number of moles of the gas Relationship between volume and number of moles at constant pressure and temperature Greater number of moles Larger volume Lesser number of moles Smaller volume P = 1 atm P = 1 atm T = 0 °C 1 mol 22.4 L 2 mol 44.8 L

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Relationship between gas pressure and quantity (number of moles) Avogadro ! s hypothesis Equal volumes of gases at the same temperature and pressure contain equal numbers of molecules P = C n Can be rewritten as : P / n = C P 1 / n 1 = C P 2 / n 2 = C P 1 / n 1 = P 2 / n 2 Another corollary of Avogadro ! s hypothesis The pressure
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Lecture_08OCT - Combined gas laws Boyle!s law Gay-Lussac!s...

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