Physical Properties of Gases Chapter 21- continued Pressure and units: Since pressure is the force exerted on a unit area of a surface, we can write the relationship: Pressure force/area or P F/A Over the years, scientists in different countries have used different units to measure force and area, so there are a number of different units of pressure. There are four common units of gas pressure: millimetres of mercury (mmHg) atmospheres (atm) pascals (Pa or N m 2) bars (bar). Volume There are also a number of different units used for volume. Questions: Q5 and Q6 Boyle’s law As long ago as 1662, Robert Boyle (Figure 21.8), an Irish chemist, showed by experiment that for a given amount of gas at constant temperature, the volume of the gas is inversely proportional to its pressure. In other words, if the volume of a fixed amount of gas at constant temperature is halved, the pressure will double. If the volume is tripled, the pressure drops to onethird of its original value. Boyle’s law quantifies the relationship between the pressure exerted by a gas and the volume it occupies. where V1 is the volume at pressure P1, and V2 is the new volume at the new pressure P2. K is the constant, as it is constant it can be left out of the equation. Questions : 8, 9, 10, 11 Charles’ law The kinetic molecular theory states that an increase in the temperature of a gas increases the average kinetic energy of the molecules. The molecules move more rapidly and collide with the walls of the container more frequently and with greater force. This can cause: the volume of gas to increase, if the pressure on the gas is fixed. Gas in a syringe or balloon would behave in this way the pressure to increase, if the volume of the gas container is fixed, such as in a stoppered flask or a gas cylinder. Important: A new temperature scale known as the kelvin scale or absolute temperature scale. The relationship between temperature on the Celsius scale (t) and temperature on the kelvin scale (T) is given by the equation: T t 273 The temperature 0 K (273°C) is the lowest temperature theoretically possible. At this temperature, all molecules would have zero kinetic energy. Charles Law states that the volume of a fixed amount of gas is directly proportional to the Kelvin temperature, provided that the pressure remains constant. Where V is the volume of a fixed amount of gas and T stands for temperature in Kelvin Questions: 12, 13 Molar Volume of a Gas: If we take 1 mole of any gas, the volume it occupies will depend on temperature and pressure only. We define this volume as the molar volume (Vm) of a gas. It is convenient to know the molar volume of a gas under the conditions that normally exist in a laboratory. The temperature of 25°C (298 K) and a pressure of 101.3 kPa approximate to laboratory conditions. These conditions are known as standard laboratory conditions (SLC). Standard temperature and pressure (STP) refers to a temperature of 0°C (273 K) and a pressure of 101.3 kPa. It is therefore usual to assume that the molar volume of a gas at: SLC is 24.5 L mol-1 STP is 22.4 L mol From these values, we can be calculate the amount of a gas, given its volume at SLC or STP. Questions: 16 & 17