On heating a glass block of `10,000 cm^(3)` from `25^(@)C` to `40^(@)C`, its volume increase by `4cm^(3)`. Calculate coefficient of linear expansion of glass.

Explanation

Given Volume V=`10000 cm^(3)`
Temperature, `DeltaT=(40-25)=15^(@)C,DeltaV=4cm^(3)`
`therefore ` Ceefficeient of cubical expansion is given by
`gamma=(DeltaV)/(V.DeltaT)=(4)/(10000xx5)`
`=26.67xx10^(-6)"^(@)C^(-1)`
`therefore` Coeffcient of linear expansion,
`alpha=(gamma)/(3)=(26.67xx10^(-6))/(3)=8.89xx10^(-6)" ^(@)C^(-1)`