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(a) What is the mass of water used in this experiment? (b) Calculate the amount

ID: 547729 • Letter: #

Question

(a) What is the mass of water used in this experiment?

(b) Calculate the amount of energy (heat) absorbed by the water.

(c) Calculate the heat capacity of the metal.

A 48.50 g sample of a metal is heated to 100°C then placed into 100.0 mL of water (initially at 25.7 oC). The metal and water were allowed to reach thermal equilibrium, determined to be at 27.8 C Assuming no heat lost to the environment, calculate the specific heat of the metal. (a) What is the mass of water used in this experiment? (b) Calculate the amount of energy (heat) absorbed by the water (c) Calculate the heat capacity of the metal.

Explanation / Answer

(a)

water 1 mL = 1g

mass of water = 100 g

(b)

heat gained by water = heat lost my metal

So

heat gained by water = M C delta T

= 100 g * 4.18 J/g oC* ( 27.8 -25.7)

= 878 J

(c)

Will be equal to heat lost by metal

878 J = mC delta T

Put values

878 J = 48.50 g * C * (100-27.8)

C = 0.25 J/g oC

or 0.25 kJ/kg oC Answer