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

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

or  C = 0.333 cal/g°C

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

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

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

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