Question

A piece of unknown metal weighs 217 g . When the metal absorbs 1.43 kJ of heat, its temperature increases from 24.5°C to 39.1°C. Determine the specific heat of the metal.

Answer 1

The specific heat of the metal is 0.451 J/g°C (This could be iron).

Step-by-step explanation:

Step 1: Data given

Mass of the unknown metal = 217 grams

The metal absorbs 1.43 kJ of heat

The temperature increases from 24.5°C to 39.1 °C

Step 2: Calculate the specific heat of the metal

q = m*c*ΔT

⇒ q = the heat transfer = 1.43 kJ

⇒ m = the mass of the unknown metal = 217 grams

⇒ c = the specific heat of the metal = TO BE DETERMINED

⇒ ΔT = the change of temperature = T2 - T1 = 39.1 - 24.5 = 14.6 °C

q = 1430 J = 217g * C * 14.6 °C

C = 0.451 J/ g°C

The specific heat of the metal is 0.451 J/g°C (This could be iron).