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Density of glass at 10^(@)C is 2.6 g*cm^...

Density of glass at `10^(@)C` is 2.6 `g*cm^(-3)` and that at `60^(@)C " is " 2.596 g*cm^(-3)`. What is the average value of the coefficient of linear expansion of glass between these two temperatures?

Text Solution

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Using the equation `D_(1)=D_(2)[1+gamma(t_(2)-t_(1))]`, and substituting the given values,
`D_(1)=2.6 g*cm^(-3), D_(2)=2.596g*cm^(-3), t_(1)=10^(@)C " and " t_(2)=60^(@)C`,
we get, `2.6=2.596[1+gamma(60-10)]`
or, `" "1+50gamma=2.6/2.596 " or, " 50 gamma=(2.6-2.596)/2.596`
or, `" " 50gamma=1.00154-1`
or, `" " gamma=0.00154/50=30.8 times 10^(-6@)C^(-1)`
`therefore " " alpha=gamma/3=10.27 times 10^(-6@)C^(-1).`
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