Question

A metal ball of mass 100 g is heated to 90°C and then cooled to 25°C. The heat lost in the process is 2.5 kJ. Another metal ball of mass 200 g is heated to 90°C and then cooled to 25°C. The heat lost in the process is 5.0 kJ. What can be concluded from the data?

A) The balls are made of the same material.
B) The first ball is made of a material with a higher specific heat.
C) The second ball is made of a material with a higher specific heat.
D) The specific heat of one of the balls is two times that of the other.

Answer 1

A. The balls are made of the same material

Answer 2

A) The balls are made of the same material.

Step-by-step explanation:

Q= m c delta T

where Q is heat, m is mass, c is specific heat capacity and delta T is the difference in temperature.

When c and delta T are held constant, heat is directly proportional to the mass.

Here both the metal balls have the same delta T, and as the mass of the ball double so does the heat lost, this implies that both the balls are made up of the material and have the same specific heat capacity.