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OPEN SYSTEM A system that can exchange both mass and energy with its surroundings. 1261 OPEN SYSTEM A system that can exchange both mass and energy with its surroundings. CLOSED SYSTEM A system that allows energy but not mass transfer with its surroundings. 1262 OPEN SYSTEM A system that can exchange both mass and energy with its surroundings. CLOSED SYSTEM A system that allows energy but not mass transfer with its surroundings. ISOLATED SYSTEM A system that does not allow energy or mass transfer with its surroundings. 1263 STATE OF A SYSTEM The macroscopic variables such as composition, volume, pressure, temperature, etc., that define a particular system. 1264 STATE OF A SYSTEM The macroscopic variables such as composition, volume, pressure, temperature, etc., that define a particular system. STATE FUNCTION Any property of a system that is fixed by the state the system is in. (A change in a state function is independent of the path followed – it depends only on the initial and final states of the system.) 1265 Example of a state function: If we have 1 mole of a gas at a given temperature and pressure – then the volume can’t be varied, its fixed by the state of the system defined by the variables n, T, and p. V can be calculated from V nRT p 1266 Example of a state function: If we have 1 mole of a gas at a given temperature and pressure – then the volume can’t be varied, its fixed by the state of the system defined by the variables n, T, and p. V can be calculated from V nRT p The important property of a state function is that a change in a state function is independent of the path followed by the system – only the initial and final values are needed to calculate the change. 1267 The First Law of Thermodynamics 1268 The First Law of Thermodynamics The First Law of Thermodynamics: The energy of the universe is constant. 1269 The First Law of Thermodynamics The First Law of Thermodynamics: The energy of the universe is constant. Mass-energy statement: The sum of all the mass and all the energy in the universe is constant. 1270 The First Law of Thermodynamics The First Law of Thermodynamics: The energy of the universe is constant. Mass-energy statement: The sum of all the mass and all the energy in the universe is constant. The first law of thermodynamics describes conservation of energy. 1271 The first law of thermodynamics is sometimes expressed as: The energy change in any system is equal to the heat absorbed by the system plus the work done on the system. This is a particularly useful statement for the purposes of doing calculations. 1272 The first law of thermodynamics is sometimes expressed as: The energy change in any system is equal to the heat absorbed by the system plus the work done on the system. This is a particularly useful statement for the purposes of doing calculations. Recall that delta, Δ , denotes “change in”, so ΔX denotes ΔX Xfinal Xinitial. 1273 The first law of thermodynamics is: ΔE q w 1274 The first law of thermodynamics is: ΔE q w where ΔE is the change in the internal energy, 1275 The first law of thermodynamics is: ΔE q w where ΔE is the change in the internal energy, w is the work done on the system 1276 The first law of thermodynamics is: ΔE q w where ΔE is the change in the internal energy, w is the work done on the system q is the heat absorbed by the system 1277 The first law of thermodynamics is: ΔE q w where ΔE is the change in the internal energy, w is the work done on the system q is the heat absorbed by the system The work w can be expressed in terms of two different types of work: the work of expansion, and non-expansion work: 1278 The first law of thermodynamics is: ΔE q w where ΔE is the change in the internal energy, w is the work done on the system q is the heat absorbed by the system The work w can be expressed in terms of two different types of work: the work of expansion, and non-expansion work: w wexp wnon -exp 1279 The first law of thermodynamics is: ΔE q w where ΔE is the change in the internal energy, w is the work done on the system q is the heat absorbed by the system The work w can be expressed in terms of two different types of work: the work of expansion, and non-expansion work: w wexp wnon -exp Expansion work involves a volume change, nonexpansion work does not. 1280 Expansion work 1281 ΔE Efinal Einitial 1282 A system transferring energy as heat only. 1283 A system transferring energy as work only. 1284 Sign Convention 1285 Sign Convention Work w is positive if work is done on the system 1286 Sign Convention Work w is positive if work is done on the system w is negative if work is done (by the system) on the surroundings 1287 Sign Convention Work w is positive if work is done on the system w is negative if work is done (by the system) on the surroundings Heat q is positive if heat is added to the system 1288 Sign Convention Work w is positive if work is done on the system w is negative if work is done (by the system) on the surroundings Heat q is positive if heat is added to the system q is negative if heat is added (by the system) to the surroundings 1289 Sign Convention Work w is positive if work is done on the system w is negative if work is done (by the system) on the surroundings Heat q is positive if heat is added to the system q is negative if heat is added (by the system) to the surroundings Summary: To the system is positive, To the surroundings is negative. 1290 1291 The following simple example uses the First Law of Thermodynamics and we pay attention to the sign convention. 1292 The following simple example uses the First Law of Thermodynamics and we pay attention to the sign convention. Example: The work done in compressing a gas in a cylinder is 299 J. During the process, there is a heat transfer of 70.3 J from the gas to the surroundings. Calculate the change in the internal energy of the gas. 1293 The following simple example uses the First Law of Thermodynamics and we pay attention to the sign convention. Example: The work done in compressing a gas in a cylinder is 299 J. During the process, there is a heat transfer of 70.3 J from the gas to the surroundings. Calculate the change in the internal energy of the gas. The gas is the system in this problem. 1294 The following simple example uses the First Law of Thermodynamics and we pay attention to the sign convention. Example: The work done in compressing a gas in a cylinder is 299 J. During the process, there is a heat transfer of 70.3 J from the gas to the surroundings. Calculate the change in the internal energy of the gas. The gas is the system in this problem. ΔE q w = -70.3 J + 299 J = 229 J. 1295 Entropy and The Second Law of Thermodynamics 1296 Entropy and The Second Law of Thermodynamics Exothermic reactions (ΔH is negative) indicate that energy is given off to the surroundings and so the products of the reaction have a lower energy than the reactants. 1297 Entropy and The Second Law of Thermodynamics Exothermic reactions (ΔH is negative) indicate that energy is given off to the surroundings and so the products of the reaction have a lower energy than the reactants. First impression: might expect that the sign of ΔH tells which direction a reaction (or process) will go. 1298 Entropy and The Second Law of Thermodynamics Exothermic reactions (ΔH is negative) indicate that energy is given off to the surroundings and so the products of the reaction have a lower energy than the reactants. First impression: might expect that the sign of ΔH tells which direction a reaction (or process) will go. This turns out not to be the case. The melting of ice is a counter example. 1299 Key question: How do we tell which reactions (or processes) proceed in the forward direction? 1300 Spontaneous Processes 1301 Spontaneous Processes Spontaneous Process: A process that can occur by itself, without the input of energy from the surroundings. 1302 Spontaneous Processes Spontaneous Process: A process that can occur by itself, without the input of energy from the surroundings. It is logical to assume that spontaneous processes occur so as to decrease the energy of the system. 1303 1304 Spontaneous Processes Spontaneous Process: A process that can occur by itself, without the input of energy from the surroundings. It is logical to assume that spontaneous processes occur so as to decrease the energy of the system. There are many spontaneous processes that cannot be understood by considering energy changes alone. 1305 Example of a spontaneous process: the expansion of a gas into a vacuum. 1306 1307 1308 We can design the experiment so that there is no exchange of energy between the system and the surroundings during the expansion. 1309 We can design the experiment so that there is no exchange of energy between the system and the surroundings during the expansion. Therefore, factors other than the energy must be responsible for this occurrence. 1310 We can design the experiment so that there is no exchange of energy between the system and the surroundings during the expansion. Therefore, factors other than the energy must be responsible for this occurrence. The clue is found when we realize that before the expansion, all the molecules are in one container. 1311 We can design the experiment so that there is no exchange of energy between the system and the surroundings during the expansion. Therefore, factors other than the energy must be responsible for this occurrence. The clue is found when we realize that before the expansion, all the molecules are in one container. Because they are confined in a smaller volume, the system is more ordered (less random) than it is after expansion. 1312 This is a general principle: Spontaneous processes tend to occur when there is an increase of disorder or randomness of the universe. 1313 This is a general principle: Spontaneous processes tend to occur when there is an increase of disorder or randomness of the universe. The thermodynamic quantity used as a measure of the disorder or randomness of a system is called the entropy. (Clausius, 1865: from Greek: transformation (lit. ‘turning’)). 1314 This is a general principle: Spontaneous processes tend to occur when there is an increase of disorder or randomness of the universe. The thermodynamic quantity used as a measure of the disorder or randomness of a system is called the entropy. (Clausius, 1865: from Greek: transformation (lit. ‘turning’)). Symbol used for entropy: S 1315 This is a general principle: Spontaneous processes tend to occur when there is an increase of disorder or randomness of the universe. The thermodynamic quantity used as a measure of the disorder or randomness of a system is called the entropy. (Clausius, 1865: from Greek: transformation (lit. ‘turning’)). Symbol used for entropy: S The units for S are: J K-1 1316 This is a general principle: Spontaneous processes tend to occur when there is an increase of disorder or randomness of the universe. The thermodynamic quantity used as a measure of the disorder or randomness of a system is called the entropy. (Clausius, 1865: from Greek: transformation (lit. ‘turning’)). Symbol used for entropy: S The units for S are: J K-1 The units for molar entropies are: J K-1 mol-1 1317 1318 1319 Entropy and the number of microstates Each quantized state of a whole system of molecules is called a microstate. The number of microstates for a system is the number of ways the system can disperse its energy among the various modes of motion of all its molecules. This number is designated by W. 1320