Thermal Concepts Heat & Thermodynamics Objectives State that the temperature determines the direction of thermal energy transfer State the relation between the Kelvin and Celsius temperature scales Thermal Energy (Heat) Transfer State that the temperature determines the direction of thermal energy transfer TEMPERATURE: A measurement of how hot an object is. A scalar quantity. If two objects have the same temperature, there will be no net heat flow between them. Heat energy moves from ‘hotter’ to “colder” bodies. What happens when two objects have the same temperature? When two bodies are at the same temperature as each other, they are in thermal equilibrium. This leads to the ‘Zeroth’ law of thermodynamics’: If two bodies A and B are separately in thermal equilibrium with body C, they are also in thermal equilibrium with each other and thus have the same temperature. “Cold” isn’t real “Cold” is the word assigned to a lack of heat energy. The Cosmic Microwave Background 2.72548±0.00057 K State the relation between the Kelvin and Celsius temperature scales Temperature The absolute temperature scale (measured in Kelvin and with a minimum value of zero Kelvin) is used in physics calculations. Kelvin Temperature = Celsius Temperature + 273 (Where a change of one Kelvin equals a change of one degree Celsius) The absolute (Kelvin) temperature of a body is a measure of the average amount of kinetic energy that each of its molecules have. (i.e. The KE of the particles is directly proportional to the temperature) Practice 1. Convert 25.0 °C to Kelvin. 2. Convert 375 K to degrees Celsius. 3. Convert −50 °C to Kelvin. (That's a minus 50.) 4. The boiling point of water on the Kelvin scale is __________. 1. 298 K 2. 102 °C 3. 223 K 4. 373 K 5. 40.0 °C is what temperature on the Kelvin scale? 5. 313 K 6. -20.0 °C is what temperature on the Kelvin scale? 6. 253 K 7. 298 K is what temperature in degrees Celsius? 7. 25 °C 8. What is the temperature (give in both °C and K) at STP? 8. 0 °C or 273 K 9. Convert -145.0 °C to K 9. 128 K 10.Convert 20.0 °C to K 10.293 K 11.Convert 252 K to °C 11.-21 °C Objectives State that the internal energy of a substance is the total potential energy and random kinetic energy of the molecules of the substance. Explain and distinguish between the macroscopic concepts of temperature, internal energy and thermal energy (heat). Absolute Zero The lowest temperature possible. -273.16°C or zero kelvin (0K). Kelvin is the absolute thermodynamic temperature scale. Particles have no kinetic energy at 0 K. INTERNAL ENERGY: The energy contained in an object due to the random KE and PE of the molecules. The kinetic energy of molecules arises from their random/translational/rotational motion and the potential energy arises from the forces between the molecules. State that the internal energy of a substance is the total potential energy and random kinetic energy of the molecules of the substance. Potential Energy Random Kinetic Energy Explain and distinguish between the macroscopic concepts of temperature, internal energy and thermal energy (heat). Thermal Energy The term thermal energy refers to the non-mechanical transfer of energy between a system and its surroundings. In this respect it is just as incorrect to refer to the “thermal energy in a body” as it would be to refer to the “work in a body”. Summary Write a paragraph comparing the macroscopic concepts of temperature, internal energy and thermal energy (heat). Objectives Define the mole and molar mass Define the Avogadro Constant Define the mole and molar mass MOLE: The amount of a substance that contains the same number of particles as there are atoms in 12g of carbon-12. MOLAR MASS: The mass of 1 mole of a substance. eg molar mass of water is 18g Define the Avogadro Constant The number of particles in a mole. A=6.02 x 1023 Moles & the Avogadro Number The number of molecules in a substance is measured in ‘moles’. Just like ‘a dozen’ means twelve of something, ‘one mole’ means 6.02 x 1023 molecules of something. One mole of a substance contains the same number of molecules as in 12 grams of Carbon-12. The Avogadro number (NA) is equal to the number of molecules in 12 grams of Carbon-12 (NA= 6.02 x 1023) The molar mass (M) is the mass in grams of one mole of a particular substance. Note: the mass number of an element is equal to the molar mass for atoms of an element. E.g. One mole of Nitrogen atoms will have mass 14g. Examples 1. The mass number of Helium is 4. How many atoms are in 4kg of Helium? A.Mass no. is 4 so molar mass is 4g. 4000 g / 4g = 1000 moles 1000 x NA = (1 x 103) x (6.02 x 1023) = 6.02 x 1026 atoms Examples 2. The molar mass of iron atoms is 56 g mol-1 and its density is 7.9 g cm-3. a) Find the mass of one atom of Iron. b) Calculate the number of iron atoms in one cubic metre of iron. Examples 2. The molar mass of iron atoms is 56 g mol-1 and its density is 7.9 g cm-3. a. If one mole of atoms has mass 56g then one atom will have mass = 56 ∕ NA = 56 ∕ (6.02 x 1023) = 9.3 x 10-23g b. Calculate the number of iron atoms in one cubic metre of iron. One cm3 has mass = 7.9 g So one m3 has mass = 7.9 x (100x100x100) g = 7.9 x 106 g So # of iron atoms per m3 = 7.9 x 106 / 9.3 x 10-23 = 8.5 x 1028 atoms MOLES The number of moles of a substance (n) can be determined form the total mass (m) divided by the molar mass (mass per mole, M), usually both measured in grams: n= m M Similarly if you knew the total number of molecules (N), you could find the number of moles (n) from… n = N NA Examples Calculate the number of moles of oxygen atoms in 40g of oxygen. Calculate the number of moles of oxygen molecules (O2) in 40g of oxygen. A sample of fluorine gas contains 20 x 1023 atoms of fluorine. Calculate the number of moles present. Examples Calculate the number of moles of oxygen atoms in 40g of oxygen. N = m / M = 40 / 16 = 2.5 moles Calculate the number of moles of oxygen molecules (O2) in 40g of oxygen. N = m / M = 40 / 32 = 1.25 moles A sample of fluorine gas contains 20 x 1023 atoms of fluorine. Calculate the number of moles present. N = N / NA = 20 x 1023 / 6.02 x 1023 = 3.3 moles Your turn! Complete the assigned problems for whiteboards tomorrow!