Question

A 128 g metal bar requires 2.50 kJ to change its temperature from 11.5°C to 100.0°C. What is the specific heat of the metal?

a) 0.01 J/(g°C)
b) 0.02 J/(g°C)
c) 0.03 J/(g°C)
d) 0.04 J/(g°C)

Answer 1

The specific heat of the metal is 0.02 J/(g°C).

Step-by-step explanation:

The specific heat of a substance is defined as the amount of heat energy required to raise the temperature of one gram of the substance by one degree Celsius.

To find the specific heat of the metal, we can use the formula:

Specific heat = (heat energy)/(mass × change in temperature)

Given that the metal bar has a mass of 128 g and requires 2.50 kJ (or 2500 J) of heat energy to change its temperature from 11.5°C to 100.0°C, we can substitute these values into the formula:

Specific heat = (2500 J)/(128 g × (100.0°C - 11.5°C))

Simplifying the equation gives us:

Specific heat = 0.02 J/(g°C)

Therefore, the specific heat of the metal is 0.02 J/(g°C), so the correct answer is (b) 0.02 J/(g°C).