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The ideal gas law The ideal gas law PV = nRT The ideal gas law PV = nRT is fairly easy to use. The ideal gas law P = Pressure in atm PV = nRT is fairly easy to use. The ideal gas law V = Volume in L P = Pressure in atm PV = nRT is fairly easy to use. The ideal gas law V = Volume in L n = number of moles P = Pressure in atm PV = nRT is fairly easy to use. The ideal gas law R = 0.0821 V = Volume in L n = number of moles P = Pressure in atm PV = nRT is fairly easy to use. The ideal gas law R = 0.0821 V = Volume in L n = number of moles P = Pressure in atm T = Temperature in Kelvin PV = nRT is fairly easy to use. n T P V Pressure ? Moles ? Temperature ? Volume ? Kelvin ? mol ? atm ? L ? Each variable MUST be in the given units Each variable MUST be in the given units Pressure MUST be in atm Each variable MUST be in the given units Pressure MUST be in atm Volume MUST be in L Each variable MUST be in the given units Pressure MUST be in atm Volume MUST be in L n MUST be in moles Each variable MUST be in the given units Temperature MUST be in K Pressure MUST be in atm Volume MUST be in L n MUST be in moles Each variable MUST be in the given units Temperature MUST be in Pressure MUST be in Volume MUST be in n MUST be in moles ? L ? atm ? K ? Since n is a constant Since n is a constant (.0821) Since n is a constant there are 4 actual variables in the equation: (.0821) Since n is a constant there are 4 actual variables in the equation: (.0821) P Since n is a constant there are 4 actual variables in the equation: (.0821) P, V Since n is a constant there are 4 actual variables in the equation: (.0821) P, V, n Since n is a constant there are 4 actual variables in the equation: (.0821) P, V, n, and T How many actual variables are in theIdeal Gas Law? Since n is a constant there are 4 actual variables in the equation: (.0821) P, V, n, and T Since n is a constant there are 4 actual variables in the equation: (.0821) You will be given 3 out of the four P, V, n, and T Since n is a constant there are 4 actual variables in the equation: (.0821) You will be given 3 out of the four then asked to find the fourth. P, V, n, and T For example, If For example, If P = 17 atm For example, If P = 17 atm n = 2 moles For example, If P = 17 atm T = 200 K n = 2 moles For example, If Find Volume in liters. P = 17 atm T = 200 K n = 2 moles For example, If Find Volume in liters. P = 17 atm T = 200 K n = 2 moles Just use the formula For example, If Find Volume in liters. P = 17 atm T = 200 K n = 2 moles PV = nRT Just use the formula For example, If Find Volume in liters. P = 17 atm T = 200 K n = 2 moles PV = nRT Just use the formula and plug in the values For example, If Find Volume in liters. P = 17 atm T = 200 K n = 2 moles 17 PV = nRT Just use the formula and plug in the values For example, If Find Volume in liters. P = 17 atm T = 200 K n = 2 moles 17V PV = nRT Just use the formula and plug in the values For example, If Find Volume in liters. P = 17 atm T = 200 K n = 2 moles 17V= PV = nRT Just use the formula and plug in the values For example, If Find Volume in liters. P = 17 atm T = 200 K n = 2 moles 17V=2 PV = nRT Just use the formula and plug in the values For example, If Find Volume in liters. P = 17 atm T = 200 K n = 2 moles 17V=2(.0821) PV = nRT Just use the formula and plug in the values For example, If Find Volume in liters. P = 17 atm T = 200 K n = 2 moles 17V=2(.0821)(200) PV = nRT Just use the formula and plug in the values For example, If Find Volume in liters. P = 17 atm T = 200 K n = 2 moles 17V=2(.0821)(200) PV = nRT Just use the formula Now solve the equation and plug in the values For example, If Find Volume in liters. P = 17 atm T = 200 K n = 2 moles 17V=2(.0821)(200) 17V = 32.84 PV = nRT Just use the formula Now solve the equation and plug in the values For example, If Find Volume in liters. P = 17 atm T = 200 K n = 2 moles 17V=2(.0821)(200) 17V = 32.84 PV = nRT Just use the formula Now solve the equation and plug in the values V = 1.93 L P = V = n = If I have 100 moles of gas at a pressure of 5.6 atm and a volume of 12 L, what is the temperature? L ? atm ? mol ? PV = nRT ( )= ( .0821 ) T P = V = n = If I have 4 moles of gas at a pressure of 5.6 atm and a volume of 12 L, what is the temperature? 5.6 atm 12 L 4 mol 5.6 PV = nRT ( 12 T )= = = Round to the tenth place 100 K T ( .0821 ) T |