Question

(Triple points) A scientist found that a sample of metal expands from 26.1 cm3 to 26.2 cm3 when heated from 25 °C to 75 °C. What would the coefficient of volume expansion be for this metal?

Answer 1

7.66×10⁻⁵ K⁻¹

Step-by-step explanation:

From the question,

γ = (v₂-v₁)/[v₁(t₂-t₁)]....................... Equation 1

Where γ = coefficient of volume expansion, v₁ = initial volume, v₂ = Final volume, t₁ = initial temperature, t₂ = Final Temperature.

Given: v₁ = 26.1 cm³, v₂ = 26.2 cm³, t₁ = 25 °C, t₂ = 75 °C.

Substitute these values into equation 1

γ = (26.2-26.1)/[26.1(75-25)]

γ = 0.1/(26.1×50)

γ = 0.1/1305

γ = 7.66×10⁻⁵ K⁻¹

Hence the coefficient of volume expansion is 7.66×10⁻⁵ K⁻¹