Intro to Gases HW = Read 13.2, #’s 10,12,15,16,18,22 Atmospheric Pressure The gases in the air are exerting a pressure called atmospheric pressure Atmospheric pressure is a result of the fact that air has mass and is attracted by gravity producing a force. Atmospheric pressure is measured with a barometer. Units for Pressure • mmHg (millimeters mercury) or torr • 1.000 atm = 760.0 mmHg = 760.0 torr • 1.000 atm = 101,325 pascal (Pa) SI UNIT! • 1.000 atm = 14.69 pounds per square inch (psi) USED IN ENGINEERING! Gases can be described using the following four variables: V = volume of the gas (liters, L) P = pressure (atmospheres, atm) T = temperature (Kelvin, K) n = amount (moles, mol) Temperature and Volume Charles’ Law (V as a function of T) T (K) V (mL) 0 0 50 100 100 200 150 300 200 400 250 500 1200 300 600 1000 350 700 400 800 450 900 600 500 1000 400 550 1100 600 1200 650 1300 700 1400 Directly Proportional 1600 Volume (mL) 1400 800 200 0 0 200 400 Temperature (K) 600 800 Boyle’s Law (V as a function of P) P (torr) V (mL) 100 4560 200 2280 300 1520 400 1140 500 912 600 760 700 651 800 570 900 507 1000 456 1500 1100 414 1000 1200 380 500 1300 351 0 1400 326 1500 304 Inversely Proportional 5000 4500 Volume (mL) 4000 3500 3000 2500 2000 0 200 400 600 800 1000 Pressure (torr) 1200 1400 1600 Inverse and Direct Proportions Directly Proportional Inversely Proportional Boyle’s Law at Different Temperatures (P as a function of V) INVERSE PROPORTIONS • As one variable goes up, the other goes P down! T constant V • Produces a curved graph… • Multiplying the two variables equals a constant. P1V1 = P2V2 DIRECT PROPORTIONS T • As one variable goes up, so does the other! V • Produces a straight line graph… • Dividing the one variable by the other equals a constant. V1 T1 = V2 T2 P1 x V1 = P2 x V2 P may change and V may change, but their product stays the same! What stays constant in this scenario?