Universal Gas Equation - VCE Chemistry
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VCE CHEMISTRY PREVIOUS STUDY DESIGN- 2016- Home
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| STUDY CARD AVAILABLE- SEE CONTACT. Relationship between Pressure- Volume (Boyle's Law)•The volume of a fixed mass of gas at constant temperature is inversely proportional to the pressure exerted on it.•P ∞ 1 / V then PV equals a constant value.•Boyle’s Law: P1V1 = P2V2 at constant temperature.Relationship between Temperature- Volume (Charles' Law)•The volume of a fixed mass of gas at constant pressure is directly proportional to its absolute temperature (kelvin scale).•V ∞ T then V / T equals a constant value.•Charles’ Law: V1 = V2 at constant pressure T1 T2Relationship between Volume-Mole (Avogadro's Law)Avogadro postulated that equal volumes of gases at the same temperature and pressure contain equal numbers of particles. V ∞ n or V= kn where k is a constant.Molar gas Volume•Molar Gas Volume is the volume of 1 mole of a particular gas.•It has been found experimentally that 1 mole of any gas at STP occupies a volume of 22.7 L.•The molar volume of a gas at SLC is 24.8 L.•Gas constants: VSTP = 22.7 L VSLC = 24.8 LSTP- 0 oC and 100kPaSLC – 25 oC and 100KPaThere is a direct relationship between the number of moles of a gas and its molar volume. n = V VmWhere: n is the number of moles of gas V is the actual volume of gas Vm is the molar volume of the gas•Combine Boyle’s and Charles’ Laws: PV equals a constant value V / T equals a constant value to get PV / T equals a constant value.•Combined Gas Law: P1V1 = P2V2 for a constant amount of gas. T1 T2•P ∞ 1 / V (Boyle’s Law)•P ∞ T (Gay Lussac’s Law)•P ∞ n•Combine these proportionalities: P ∞ nT / VUniversal gas equation•Replace proportionality with equality sign.•Introduce a general gas constant, R and we get the general gas equation. PV = nRT where: Pressure (P) is measured in kilopascals (kPa) Volume (V) is measured in litres (L) Temperature (T) is measured in kelvin (K) Number of moles (n) – unit (mol) General Gas Constant (R) = 8.31JK-1mol-1 Aus-e-tute ideal gas law Ideal gas equation quiz Kahoot quiz- gas laws Ideal gas equation quiz Boyles law Charle's law Combined gas law | Boyle's Law animation courtesy of By NASA's Glenn Research Center - http://www.grc.nasa.gov/WWW/K-12/airplane/aboyle.html, Public Domain, https://commons.wikimedia.org/w/index.php?curid=4448761 Charle's Law animation courtesy of By NASA's Glenn Research Center - http://www.grc.nasa.gov/WWW/K-12/airplane/aglussac.html, Public Domain, https://commons.wikimedia.org/w/index.php?curid=4448734 Sample Problem using the universal gas equation Find the volume of 6.30 mol of carbon dioxide gas at 23oC and 550 kPa pressure. (R = 8.31 JK-1mol-1)Solution:Step 1: Write down given data in correct units. P = 550 kPa V = ??? n = 6.30 mol T = 23oC = 296 K R = 8.31 JK-1mol-1Step 2: Use general gas equation to calculate volume. PV = nRT V = nRT / P = 6.30 x 8.31 x 296 / 550 = 28.2 L |
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Boyle's Law animation courtesy of By NASA's Glenn Research Center - http://www.grc.nasa.gov/WWW/K-12/airplane/aboyle.html, Public Domain, https://commons.wikimedia.org/w/index.php?curid=4448761
Charle's Law animation courtesy of By NASA's Glenn Research Center - http://www.grc.nasa.gov/WWW/K-12/airplane/aglussac.html, Public Domain, https://commons.wikimedia.org/w/index.php?curid=4448734 Sample Problem using the universal gas equation Find the volume of 6.30 mol of carbon dioxide gas at 23oC and 550 kPa pressure. (R = 8.31 JK-1mol-1)Solution:Step 1: Write down given data in correct units. P = 550 kPa V = ??? n = 6.30 mol T = 23oC = 296 K R = 8.31 JK-1mol-1Step 2: Use general gas equation to calculate volume. PV = nRT V = nRT / P = 6.30 x 8.31 x 296 / 550 = 28.2 L