Question

37) A student attempts to determine the specific heat of a metal by conducting a calorimetry experiment. The student heats 250 g of the unknown metal to a temperature of 38 C. They then place the metal into a calorimeter which contains 100 g of water at 21°C. The maximum temperature of the water rises to 27°C. a) What is the heat gained by the water in the calorimeter? Specific heat of water is 4.18 J/g'C. (5 points) b) What is the total amount heat lost by the hot metal? Justify your answer. (2 points) c) What is the specific heat of the unknown metal? (5 points) The specific heat of copper is 0.386 J/g C. The specific heat of water is 4.18 J/g°C. Which substance, water or copper, will heat up faster? Justify your answer? (3 points)

Answer 1

a) The heat gained by the water is calculated:

q = m * cp * ΔT = 100 * 4.18 * (27 - 21) = 2508 J

b) The heat that the metal loses is:

q metal = - q H2O = - 2508 J

c) The specific heat is calculated:

c = q / m * ΔT = - 2508 J / 250 g * (27 - 38) = 0.912 J / g * C

Copper transfers heat faster, since it has a lower specific heat.

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