Question

Review l Constants Perlo Part A It takes 55.0 J to raise the temperature of an 10.7 g piece of unknown metal from 13.0"C to 24.3 °C. What is the specific heat for the metal? Express your answer with the appropriate units. View Available Hint(s) Learning Goal: To understand the concepts of heat capacity, specific heat, and molar heat capacity Heat capacity, C, is the amount of energy required to raise the temperature of a substance by exactly 1 degree Celsius. The energy needed to warm an object increases as the mass of that object increases. We see this in our everyday life. For example, we know that it takes much more energy to heat a large tank of water than a small cup. Because of this dependence on mass, experimentally determined heat capacities are always reported in terms of the amount of the substance that is heated. One method is to report how much energy it takes to raise the temperature of one mole of a substance by exactly 1 degree Celsius. This value is the molar heat capacity, which has the symbol Cp. The molar heat capacity is given in the units J/(mol - °C). A second method is to report how much energy it takes to raise the temperature of one gram of a substance by exactly 1 degree Celsius. This value is the spocific heat, which has been given the symbol Cs. The units for specific heat are J/(s. C). The heat capacity of a substance is therefore related to the energy a needed to raise its temperature by an amount AT. That is, q=nCAT, where n denotes the number of moles of the substance, or g=mC. AT, where m denotes the number of grams of the substance. C. - Value Units Submit Parts B and C The next two questions pertain to silver. They have nothing to do with unknown metal described in Part A. Part B The molar heat capacity of silver is 25.35 J/mol. °C. How much energy would it take to raise the temperature of 10.7 g of silver by 19.2°C? Express your answer with the appropriate units. View Available Hint(s) ILLA • • • Ea ? Value Units

Answer 1

Heat capacity(C) is the amount of heat energy required to raise the temperature of a substance by 1°C.

• Heat Capacity for 1g substance is Specific heat capacity (Cp)
• Heat capacity for 1mole substance is Molar heat capacity (Cs)

formula used are - q = nCp AT - q = m C₃ AT q eneegy requered ( in Joules) n no. of moles (mot ) Cp molar heat Capacity (J/mol °C) ДТ - САзияе іn Temphase ( °C) m quien mass (g) Cs specific heal capacity (J/g °c) m = 10.7g AT = 24.8-13.0) °C Cs =? 9, = 555 qzm Cs AT 55 (J) = 10.7 (9) X Cg (24.3-13.0)°C Cez ss (J) 10.769) X 11.3°C 55 . J/g-°C 10.7 X 11.3 (s = 0.455 5/9-°C Ag molar nass = 107.8 n = given mass = 10.7 0.099 molar mass 107-8 q=nCpAT = 0,099 (mor) x 25.35 (5/m8-c) x 19.2600) 9 = 48.31 J Cs=? for Ag - - q = MC₂ AT and Cs = q MAT (s = 48.31 (5) 10.7 692 x 19.2(°C) es = 0.235 J/g='c

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