Enthalpy _________________ is the total _________________ of a system It is represented by a ____. If the pressure remains _________________, the _________________ increase of a sample of matter equals the _________________ as _________________ that is received. This remains true even during a _________________ reaction or a change of _________________ occurs. It also indicates the _________________ _________________ energy of the particles in a sample So to calculate Enthalpy, we have to visit molar heat capacity _________________ _________________ _________________ of a pure substance is the _________________ as ________________ needed to increase the temperature of _________________ of a substance by _______________ It is symbolized by _____ It has a unit of ____________ Formula: ___________________________ _________________ = (amount in _________________) (_________________ _________________ capacity) (change in _________________) Note: moles are used so you may have to do some gram to mole problems. (Use molar mass) _________________ on _________________ has many Molar Heat Capacities of Elements and Compounds. Molar Enthalpy Change Since enthalpy “equals the energy as heat that is received”, we can rewrite the heat equation to: ______________________ _________________ _________________ change = (_________________ _________________ capacity) (change in _________________) Even though enthalpy is an important quantity, the only way to measure energy is through a _________________. Therefore, the _________________ value of H cannot be determined, but _________________ can be determined The enthalpy change for one mole of a pure substance is known as the _________________ _________________ change. Examples: - The molar heat capacity of tungsten is 24.2 J/(mol.K). Calculate the energy as heat needed to increase the temperature of 0.40 mol of tungsten by 10.0 K. - Suppose a sample of water increased in temperature by 3.5 K when the sample absorbed 856 J of energy as heat. Calculate the number of moles of water if the molar heat capacity is 50.5 J /(mol.K). What is the mass of that water? Molar Heat Capacity is related to Specific Heat _________________ _________________ is the energy as heat needed to raise the _________________ of one _________________ of substance by one _________________. Symbolized by ___ This is why an iron gets hot faster than a pot of water _________________ _________________(g/mol) x_____ (J/K.g) = _____ (J/K.mol) Example Problem - If the molar heat capacity of nitrogen (N2) is 29.1 (J/K.mol), what is nitrogen’s specific heat? - The molar heat capacity of Al(s) is 24.2 J/K.mol. Calculate the molar enthalpy change when Al(s) is cooled from 128.5 C to 22.6 C. - Lead has a molar heat capacity of 26.4 J/K.mol. What molar enthalpy change occurs when lead is cooled from 302 C to 275 C? Another Formula for specific heat or q=mcpT cp = q/(mT) Example: Calculate the specific heat of a substance if a 35 g sample absorbs 48 J as the temperature is raised from 293 K to 313 K Two more heat equations Heat of _________________ (Lf) - Heat involved in melting or freezing a substance Heat of _________________ (Lv) - Heat involved in evaporation or condensing a substance As a phase change occurs, all energy is being used for the change so the temperature will not change. So, during a phase change, heat equals the _________________ (m) times a _________________ (L) for that material (_________________) Example: If the heat of fusion of water is 80 cal/g, what is the amount of heat energy required to change 15.0 grams of ice at 0C to 15.0 grams of water at 0C? How do they all fit together? (Look at Figure 17 from the book) As heat is added, temperature increases linearly (_________________) Except, when a phase change occurs, because all the heat is going into changing the phase (____________, note no __)