Question

A one percent expansion of material volume typically requires a temparature increase of the order of _ of degree celsius

Answer 1

One percent expansion of material volume typically requires a temparature increase of the order of 10⁴ of degree celsius

Explanation :

The volumetric expansion of solid can be given by the equation:

ΔV = V₀γΔT

here, ∆V =   the change in volume after increasing the temperature

∆T = change in temperature,

V₀ =   initial volume and

γ =  the coefficient of volume expansion.

Given change in volume is 1%

=> ∆V = V₀/100

coefficient of volume expansion generally in order of 10⁻⁶per degree celcius

Hence

ΔV = V₀γΔT

=> V₀/100 = V₀ x 10⁻⁶ x ΔT

=> ΔT = 10⁴

Hence, one percent expansion of material volume typically requires a temparature increase of the order of 10⁴ of degree celsius