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