Question

1. A 25 g cube of metal was heated in a hot temperature bath to 80oC and then added to 50 mL of deionized water.

   1. Using the following graph, explain how you would determine the temperature change that has occurred in the system.

   2. The metal was added to the calorimeter (Styrofoam cup with water) at 180 seconds. What is the initial temperature of the water and the metal? What is the final temperature of the metal and the water?   What occurred when the hot metal was added to the cooler water?

   3. Calculate the heat absorbed by the water and the heat given off by the metal, and

   4. Determine the specific heat and possible identity of the metal.

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Addition of Metal to calorimeter occurs

Answer 1

At 179 sec. Temperature is the initial temperature of the water. At 180 sec when heated metal placed in the water, heat transfer from meal to water and temperature of the water is rise. The maximum temperature observed is the final temperature of the water. Initial temperature of water 25.15 °C Initial temperature of Metal (M) = 80 °C Final temperature of metal and water 26.4 ° Heat transfer from meal to water and temperature of the water is rise. Here heat released by metal is equal to heat absorbed by water. So, qwaterqmetal Mass of water (m)-50 g Initial temperature of water-25.15°C Temperature of water after putting metal 26.4 C Change in temperature of water (AT) 26.4-25.15 Specific heat of water (Cp) -4.184 J/g C 1.25°C Mass of M (m)-25 g Initial temperature of M 80 °C Final temperature of m= 26.4°C Change in the temperature of metal (AT) = 80 °C-264 0C = 53.6 DC qwaterMass of water (m) X Change in temperature (AT) X Specific heat of water - 50 gx 1.25 °C X 4.184 J/g °C

qwater 261.5 J heat absorbed by water Further, Heat gained by water heat lost by Metal (M - QMetal 0, qwater- 261.5 - Mass of Metal(m) X Change in temperature (AT) X Specific heat of M 216.5 Specific heat of Metal (Cp) - Mass of M (m)X Change in temperature (AT) 216.5 25 X 53.6 pecific heat of Metal (Cp) 0.1615] 25C mol Approx molar mass of metalo Specific heat 25154.80 g/mol Approx molar mass of metal 0.1615 Possible metal according to their molar mass is Europium