It takes 52.0 J to raise the temperature of an 9.70 g piece of unknown metal from 13.0∘C to 24.1 ∘C. What is the specific heat for the metal?

The specific heat for the metal is 0.48295 J/g°C

Explanation:

Given,

Q = 52 J

mass = 9.70 grams

T₁ = 13°C

T₂ = 24.1°C

The specific heat for the metal can be calculated by using the formula

Q = (mass) (ΔT) (Cp)

ΔT = T₂ - T₁ = 24.1°C - 13°C = 11.1°C

Substituting values,

52 = (9.7) (11.1) (Cp)

Cp = 0.48295 J/g°C

The specific heat for the metal is 0.48295 J/g°C.