Answer to Question #13200 in Inorganic Chemistry for Melissa

Question

25.0 g of an unknown metal at 90.0C is added to 50.0 g of water at 25.0 oC causing the temperature of the water rises to 29.8oC. What is the specific heat capacity and the identity of the metal?

Answer 1

q_metal = q_water

By substitution, we have (metal values on the left, water values on the right):

(mass) (ΔT) (C_p) = (mass) (ΔT) (C_p)
(25.0)(90-29.8)(C_p) = (50.0)(29.8-25.0)(4.184 J g^-1 °C^-1)
C_p = 0.667 J g^-1 °C^-1

There is no metal with such C_p in tables.