Question #119919

A square sheat of steal has a side of 15cm at 00 C. Determine its area at 400C. (Linear expansivity of steel = 1.1x10-5 0C-1

Expert's answer

**Solution.**

"L_0=15cm=0.15m;"

"T_0=0^oC;"

"T_1=400^oC;"

"\\alpha_L=1.1\\sdot10^{-5 }\\dfrac{1}{oC}";

"\\alpha_L=\\dfrac{1}{L}\\dfrac{\\Delta L}{\\Delta T};\\implies" "\\Delta L=\\alpha_L\\Delta T L;"

"\\Delta L=1.1\\sdot10^{-5}\\dfrac{1}{oC}\\sdot400^oC\\sdot0.15m=66\\sdot10^{-5}m;"

"L=L_0+\\Delta L;"

"L=0.15m+0.00066m=0.15066m;"

"S=L^2;"

"S=0.15066m\\sdot0.15066m=0.0227m^2;"

**Answer:**"S=0.0227m^2."

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