Question

What is the specific heat of an unknown metal if 1.67 kcal of energy are required to raise the temperature of 79.2 g sample of the metal by 63.3 degrees celsius

Answer 1

The specific heat of the unknown metal is 0.333 cal/g°C

Step-by-step explanation:

Step 1: Data given

1.67 kcal of energy is required

Mass of the metal = 79.2 grams

Temperature rise = 63.3 °C

Step 2: Calculate specific heat of the metal

Q = m*c*ΔT

⇒ with Q = the energy required = 1.67 kcal = 1670 cal

⇒ with m = the mass of the metal = 79.2 grams

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

⇒ with ΔT = the temperature rise = 63.3 °C

1670 cal = 79.2 grams * c * 63.3 °C

c = 0.333 cal/g*°C

The specific heat of the unknown metal is 0.333 cal/g°C

Answer 2

The answer to your question is C = 0.000333 kcal/g°C

or C = 0.333 cal/g°C

Step-by-step explanation:

Data

Q = 1.67 kcal

mass = 79.2 g

ΔT = 63.3°C

Formula

Q = mCΔT

Solve for C

C = Q/mΔT

Substitution

C = 1.67/(79.2 x 63.3)

Simplification

C = 1.67 / 5013.4

Result

C = 0.000333 kcal/g°C

or C = 0.333 cal/g°C