Katie Hillman Michael Griffin Ideal Gas Law Click this arrow to go to next slide Katie Hillman Michael Griffin
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PV = nRT Ideal Gas Law equation P – pressure V – Volume n – number of moles R – ideal gas constant T – temperature Use the equation to find an unknown value
Pressure Pressure Conversions (all are equal/interchangeable) 3 units of pressure Atm (Atmospheres) kPa (Kilopascals) Torrs /mm of Hg (millimeters of Mercury) Pressure Conversions (all are equal/interchangeable) 101.3 kPa 760 mm of Hg/torrs 1 atm
Volume 3 Units of Volume L (Liters) mL (Milliliters) Cm3 (Centimeters Cubed) Volume Conversions (all are equal/interchangeable) 1 liter 1000 mL 1000 cm3 1 mL=1 cm3
Number of Moles (n) If given moles, use moles If given grams, convert to moles Click here for mole converter/factor label
Gas Constant (R) 8.31 kPa (Kilopascals) 0.0821 for atm (atmospheres)
Temperature (T) 3 main units of Temperature Temperature Conversions Fahrenheit (F) Celsius (C) Kelvin (K) (MUST USE for gas equations) Temperature Conversions Kelvin=C+273 Celsius=(5/9)(F-32) Fahrenheit=(9/5)(C)+32
Factor Label Grams to Moles Take value given in grams and multiply by 1 mole over atomic mass of element or compound Example: value given is 10 grams of oxygen (10 grams)(1 mole/16 grams) Grams cancel out and the unit is moles Answer: 0.625 moles Click here to get back to mole slide
Practice Problems 1) Given the following sets of values, calculate the unknown quantity. P = 1.01 atm V = ? n = 0.00831 mol T = 25°C Click for answer 2) Given the following sets of values, calculate the unknown quantity. (Hint: Pressure will be in atm) P = ? V= 0.602 L n = 0.00801 mol T = 311 K Click for answer
Practice Problems (cont.) 3) At what temperature would 2.10 moles of N2 gas have a pressure of 1.25 atm and in a 25.0 L tank? Click for answer 4) What volume is occupied by 5.03 g of O2 at 28°C and a pressure of 0.998atm? Click for answer
Question #5 Click for answer Calculate the pressure in a 212 Liter tank containing 23.3 kg of argon gas at 25°C? Click for answer
Answer to Question #1 Temperature is 25 degrees Celsius plus 273 to equal 298 degrees Kelvin (1.01 atm) V= (0.00831 mol)(0.0821katm)(298 K) Answer is 0.20 Liters Click here to go to Question #2
Answer to Question #2 P (0.602 L)=(0.00801 mol)(0.0821 atm)(311 K) Answer is 0.340 atm Click here to go to Question #3
Answer to Question #3 (1.25atm)(25.0L)=(2.10m)(0.0821 atm) T Answer is 181 degrees Kelvin Click here to go to Question #4
Answer to Question #4 (5.03 grams)(1mole/32 grams)=0.157 moles 32 grams came from atomic number of oxygen, 02 so multiply atomic mass by 2. 16+16 is 32. 28 degrees Celsius plus 273 equals 301 degrees Kelvin (0.998atm)V= (0.157m)(0.0821 atm)(301 K) Final answer is 3.89 Liters Click here to go to Question #5
Answer to Question #5 (23.3 grams) (1mole/40 grams) =582.5 moles 25 degrees Celsius plus 273 equals 298 degrees Kelvin P (212 L)=(582.5m)(0.0821atm)(298 K) The final answer is 67.3 atm
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