╨╧рб▒с>■  46■   3                                                                                                                                                                                                                                                                                                                                                                                                                                                ье┴7 Ё┐XbjbjUU "7|7|X       l╥╥╥╥╥╥╥ц╩╩╩╩▐$ц !╢щщщМ О О О О О О $├! у#v▓ ╥щщщщщ▓ C ╥╥█╟ C C C щю╥╥М C щМ C  C aОh╥╥  0╢╝б(Z╚цф╩╫ Кh t▌ 0 !xаY$a тY$ C цц╥╥╥╥┘Ideal Gas Law PV = nRT This formula is used when you have a gas and you are trying to find moles, volume, pressure, or temperature. P = pressure n = number of moles V = volume T = temperature in Kelvin R = Universal Gas Constant R = 0.0821 atm L R = 62.4 mmHg L mol K mol K Calculate the volume, in liters, of 2.15 moles oxygen gas at 298 K and 1.25 atm. Step 1 List the information P= 1.25atm n = 2.15moles V= ? R = 0.0821 atm L mol K T = 298K Step 2 Write down the formula PV= nRT V= nRT P Step 3 Plug the numbers into the formula (2.15moles)(298K)(0.0821atmL) (1.25atm)(mole K) Step 4 Report the answer 42.08 L What are the values for the temperature and pressure at STP? Pressure= 1 atm or 760 mmHg Temperature= 0 oC or 273 Kelvin What is the volume of 1 mole of a gas at 273 K and 1 atm? V= nRT V= (1 mole)(0.0821 atm L)(273K) = 22.4L P 1 atm (mole K) If a 2.8 mole sample of gas initially occupies 54 L at 3.8 atm, what is its temperature in K? T= PV T= (3.8 atm)(54 L) mole K = 892.6 K nR (2.8 mole)(0.0821 atm L) How many moles of gas are present if a particular sample occupies 2.94 L with a pressure and temperature of 450 torr and 315 K respectively? n = PV n = (450 torr)(2.94 L) mole K = 0.0673 moles RT (315 K)(62.4 torr L) How many moles of gas are present in a 500 mL container at STP? n = PV n = (1 atm)(0.5 L) mole K = 0.0223 moles RT (273 K)(0.0821 atm L) What is the temperature in oC if you have 4 moles of gas that occupy 224 L liters at 1 atm? (Remember to convert from K to oC) T= PV T = (1 atm)(224 L) mole K = 682 K 409 oC nR (4 mole)(0.0821 atm L) How many moles of an ideal gas are in 1.0 mL if the temperature is -80 ░C and the pressure is 0.0010 torr? (Remember to convert from oC to K) n = (0.0010 torr)(0.001 L) mole K = 8.3 x 10-11 moles (193 K)(62.4 torr L) What is the volume of 1.2 moles of gas at 0.5 atm and 200 K? V= nRT V = (1.2 mole)(0.0821 atm L)(200 K) = 39.4L P 0.5 atm (mole K) How many moles would be present under the following conditions 200 mL of gas at 800 torr are at 1000C? n = (800 torr)(0.200 L) mole K = 0.00687 moles (373 K)(62.4 torr L) What is the pressure of gas if 5 moles occupies 2 liters at and 298 K? P= nRT P = (5 mole)(0.0821 atm L)(298 K) = 61.16 atm V 2 L (mole K) What is the pressure of gas if 14.8 moles occupies 3.75 liters at and 32 ░C? 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