Gas Laws

Conversions 1. Convert 50°C to °K 2. Convert 212kPa to atm

Ideal Gas Law (Units and STP) PV=nRT Pressure = atm Volume = Liters n = moles R = 0.08206 L *atm /°K *mol (more detail later on) Temperature = Kelvin STP (standard temperature and pressure) The standard temperature of a gas is 273.15°K (0°C) The standard pressure of a gas is 1 atm (101kPa)

Gas Constant R Ratio between T and P in 1L of 1 mole of any gas P= RT when n= 1 and v = 1 Similar to how π is the ratio between the circumference and diameter of a circle (C = πd) R= 0.08206 atm*L/ mol* °K R is SPECIFIC to atm and °K (you will not get the correct answer if temperature is in °C or pressure is in kPa)

What PV = nRT is Used for…. 1. Finding a condition of a gas or amount of gas when given the rest. Sample Problem: Determine the volume of 1 mole of gas at 0 °C and 1 atm using the equation PV=nRT Remember: Temperature must be °K and Pressure must be atm. 2. Solving a stoichiometry problem that involves consumption or production of a gas Used to convert between moles and volume

Combined Gas Law P1V1T2 = P2V2T1 It is a combination of Boyle’s, Charles’ and Gay-Lussac’s law. It is used to calculate the change in pressure, volume and temperature of a gas by using the formula : P1V1T2 = P2V2T1 Boyle’s Law- The gas law that states pressure and volume are inversely proportional. It is applied by calculating the change in pressure and volume of a gas by using the formula P1V1=P2V2.   Charles’ Law- The gas law that states volume and temperature are directly proportional. It is applied by calculating the change in volume and temperature of a gas by using the formula 𝑉1 𝑇1 = 𝑉2 𝑇2 . Gay-Lussac’s Law- The gas law that states pressure and temperature are directly proportional. It is applied by calculating the change in pressure and temperature of a gas by using the formula 𝑃1 𝑇1 = 𝑃2 𝑇2 .